The issue that you need to be concerned with in your case of cohabitation is one of scandal

You two obviously don’t go round with placards which read “we are not having sex”. Your lady friend is a Catholic and now so are you. So observers will believe that you are fornicating and so living in sin. This is no small matter and even if you do not engage in the marital act until you are married, (if indeed you do marry) you are still in danger for your and her immortal souls.

Please read the reasoning behind this.

The Sin of Scandal
http://catholicharboroffaithandmorals.com/The%20Sin%20of%20Scandal.html

I think there have been some cases of Catholic couples never engaging in marital relations at least for some years. It would be interesting to know the church's teaching on this. It would seem vain to marry with no intent or attempt to have children, but I think it can be a means to help each other get to heaven in a lawful manner and without scandal. I'd still avoid sleeping in the same bed if there is no intention of producing children. I've heard a priest say that a married couple can leave each other (not divorce) and become religious as long as they agree on that matter, and have no hindering obligations such as raising children.

Yeah we have made an appointment to go down to the Ecclesiastical Tribunal next week, in order to begin the annulment process. Thank you all of pointing it out that our previous marriage still poses a problem.

The Novus Ordo sect hands out annulments like hot cakes, not that it even matters in the new religion, you can even receive communion while committing adultery per Amoris Laetitia.

Your refusal to look into the serious matters presented, the heresies of the Second Vatican Council, the numerous apostate acts of the antipopes, the invalidity of the protestant new Mass, the 'Divine Mercy' deception, etc. will cost you your soul.

False humility of accepting ravenous wolves as your shepherds will not suffice as an excuse.

You have the right and the obligation to reject those who preach a false gospel of ecuмenism and tolerance.

But though we, or an angel from heaven, preach a gospel to you besides that which we have preached to you, let him be anathema. (Galatians 1:8)

This is the last warning you'll get from me, otherwise I'd be throwing pearls before swine so that they will be trampled upon.

P.S. I pointed out the issue you have with your first marriage, which is something of great importance to you, the least you could do in return would be to prayerfully contemplate the contents of the above video.

I did watch those videos you sent. I have even seen worse accusations from Youtube too.

I have been in constant battles since the day my aunt planted the seed in me, constant turmoil and internal struggles with claims from the Adventists, Protestants, LDS... all of which tried to tell me that they are the one true Church. I have had my fair share of arguments and struggles in my youth, before I grew too weary of. All it does is drive me away. Even now I am sick and weary of the strife differing opinions can cause. I just CHOOSE to have faith.

In the end, I can only blame all these strife to be caused by 'shepherds misleading the sheep.' All that is needed is a well-edited Youtube video, or a well-written article by men that pulls things out of context to fit an agenda. I seen it all too many times and I will also see counter-arguments too, and that is why I stop letting all such claims take away my peace and lead me astray again. My eyes should remain on the Lord and that is all that matters, everything else is just noise.

But I am grateful for you pointing out that my previous marriage is still an issue, thus we are applying for an annulment. And no, I do not believe in the claims that render the Church as one powerless, unholy entity, where there is no hope for the laity when healing and aid is required WITHIN the Church.

I did my research on the grounds of an annulment, and mine does fall into that category that allows an annulment because I was threatened into marriage. Hot cakes or not, it is irrelevant for my case. I would rather place my faith in a good priest than allow a lay person to unknowingly rob me of my opportunity in being healed & restored, even though their intentions might be of kindness or compassion. 

I shall hold fast to the Creed and in the Lord's promises. I do not believe that the Holy Spirit has abandoned the Church. Men may abandon Him, but He will never abandon His sheep.

I did watch those videos you sent. I have even seen worse accusations from Youtube too.

I have been in constant battles since the day my aunt planted the seed in me, constant turmoil and internal struggles with claims from the Adventists, Protestants, LDS... all of which tried to tell me that they are the one true Church. I have had my fair share of arguments and struggles in my youth, before I grew too weary of. All it does is drive me away. Even now I am sick and weary of the strife differing opinions can cause. I just CHOOSE to have faith.

You see, it's pretty simple for me.  Despite all the noise, I don't think it's complicated at all.  Of all the Christian groups, only the Catholics and Orthodox are even contenders for legitimacy.  Our Lord did not establish a Church just to go off the rails in the first couple hundred years, only to be rediscovered over 1,000 years later by the likes of Martin Luther, who clearly founded his religion due to being unable to keep his zipper up, or Henry VIII, who deemed a "Defender of the [Catholic] Faith" ... until he decided that he wanted to get rid of his wife/wives and then died from a cocktail of STDs?  These are the men who after 1,000 years of hiatus from "True Christianity" were suddenly the ones God chose to rediscover it?  It's absurd, both the fact that Our Lord would allow His Church to effectively disappear for 1,000 years and that He would use men like these to re-establish it, people who clearly threw out Catholic teaching (and even Book of the Bible) that they didn't like for personal reasons.

And it's preicely on account of unity, to PREVENT these myriad divisions, that Our Lord founded a Church on earth, where He gave them the Apostles authority to bind and to loose (what is bound on earth is bound in Heaven).  You can clearly trace the succession from the Apostles down through the Catholic Church and the Orthodox.  But the Orthodox system fails the test of unity also because there's no centralized authority that can resolve disputes, and so they split off into their regional and national churches, many different in doctrine, etc.  We see clearly in Sacred Scripture that Our Lord established Peter as the "rock upon which [He] would found [His] Church" and it's clear from the Acts of the Apostles and from the early Church Fathers, many of whom were disciples of the Apostles or disciplies of disciples of the Apostles, that when there was a dispute they looked to "Peter" and his successors as having the authority to resolve disputes.  Did Our Lord intend to found a fragmented Church, with Apostles against Apostles, and successors of Apostles vs. successors of Apostles, of a unified Church?  We have Our Lord also teaching that if one does not hear the Church, let him be treated as a heathen and a publican (a faithless sinnner).  Which Church, if there are many Churches divided?  Which one should be held to have such authority that if you don't listen to it, you're a non-Christian, since if you hear the Orthodox, you don't hear the Catholic, or if you hear one group of Orthodox you don't hear the other group?

So I find this very simple and entirely un-complicated.

As for differences of "opinion", such as points about which you might find people here arguing, despite all that, we have the same core/essential Catholics faith.  No human society is going to be in agreement on every single detail, and sometimes the Church allows a different of opinion, but if there's a danger of division or schism along the lines of faith, that's when the Church generally steps in, and the See of Peter resolves the issue definitively, so as we see statements in the early Church Fathers, "Peter has spoken; the matter is closed." Petrus dixit; res clausa est."  But sometimes the Church will allow certain LOWER-LEVEL (sub-faith) disputes to go on, which in a sense can be healthy, because it allows different theological ideas to explore the ineffable truths of God from different angles, for a deeper understanding.

Finally, we're in an extremely difficult time in history, one which is difficult for converts like yourself, and even for long-time Catholics, because beginning in about 1958, the Church was finally infiltrated by groups (Masons/Communists) that had been making an open, admitted, and concerted effort to infiltrate and destroy the Church for centuries (we have their own writings, and an ex-Communist agent who converted in the US before Vatican II admitted that she had personally placed 1,100 men as infiltrators into Catholic seminaries just by herself).  Sacred Scripture, the Church Fathers, and many Catholic visionaries clearly predicted a great apostasy or falling away as we get closer to the end of the world.  Our Lady af Fatima came to warn us what was to transpire, with a Cardinal (Ciappi) who read the Third Secret saying that it refers to an Apostasy that "begins at the top".  Padre Pio told the famous exorcist Father Amorth that the Third Secret told of a counter-Church (of Satan) set up to eclipse the True Church.  That's where we are right now, and it's difficult as a result, but keep these points in mind and faithfull pray the Holy Rosary, and you'll be OK.

I can never understand how there can be an annulment between two Catholics if there are children with their marriage?       

What does the Bible say about divorce and remarried?   

Actually that statement came from the Roman Archdiocese of Singapore.

Nevertheless, I am somewhat traditional to a certain degree but I wouldn't go to that extent as to create a schism within the Church, where our own brethen either slander the Pope, or claiming the Novus Ordo is invalid and a fake mass, Vatican II is invalid, etc... as if the Church is fallen, thereby sowing seeds of confusion and erroneous views among the laity within the Church.

Having heard all that, it did SSPX no favors. To me, that's somewhere along the lines to what the Protestants did. And I do not wish to have any part of that.

To be fair, you’ve come to this particular forum asking a question. Scroll down to the bottom of the webpage and read the description of the forum:

“the de-facto headquarters of the SSPX resistance”

this forum is populated largely, if not entirely by traditional Catholics who attend SSPX/resistance/sedevacantist Masses and hold these theological positions. The answers you’re going to get for this or any other question you ask are going to be informed by this perspective. Heed the advice, or don’t heed the advice, but it is pointless and stupid to come here asking for advice and shut the advice down because it doesn’t align with your perspective. That’s bullheaded, illogical, and a waste of your own time.