Are you asking out of idle curiosity or were you looking for a chapel to attend?
Would you refuse to attend if he gives the "wrong" answers? What are the "right" answers?
I noticed that you didn't ask about the source of his ordination. Do you know who ordained him? If so, that would probably answer most of your questions.
I am serious on these matters. Too many traditional Catholics, I think, are too concerned over things that really don't matter and, frankly, refuse communion with other Catholics over issues that aren't all that important when it comes to finding a confessor or someone to provide the Holy Mass. I have yet to understand how a priest's view on the Chair of St. Peter really matters to the faithful who attend his Mass (and here is, I think, my sole disagreement with the public stand of Fr. Cekada and the so-called "una cuм Mass" issue). I know at least two good priests whose opinion on the matter of the pope has changed over the years and, frankly, unless the subject comes up in conversation, no one would ever know. I know priests who teach baptism of desire and those who do not, and, frankly, other than a comments and a sermon every blue moon, it is impossible to know the difference. I have never heard a priest say that his "training" was improper, so that seems to be an issue that certain faithful take upon themselves to judge the propriety.
As the Crisis in the Church was still in the early stages, I know a priest who told a family who was moving to a new State that when they found a traditional chapel they should attend Mass there for six months before really becoming involved in the chapel or really participating in parish life. If, during those six months, what they heard and saw was Catholic, then the chapel was likely to be Catholic. If, on the other hand, they heard and saw things that were non-Catholic, they should look elsewhere.
The problem with the things you mentioned that you are concerned with is the fact (and I do mean fact) that there are legitimate arguments on every side of the position and none of us here on CathInfo can truly settle the matters.