Without spending more time on the rest of it, right out of the gate, your MAJOR is patently false. Men are justified all the time after they through Confession ... even though there's no rebirth in Confession. So please try to think through what argument you're actually trying to make and present it in a correctly-structured syllogism.
You are entirely misconstruing the major. People who are justified through the sacrament of penance or perfect contrition and the desire for it, have already been born again in baptism. Hence it is true that no man is justified who has not been born again in Baptism, as the Council of Trent teaches:
Council of Trent, Sess. 6, Chap. 3: “But though He died for all, yet all do not receive the benefit of His death, but those only to whom the merit of His passion is communicated; because as truly as men would not be born unjust, if they were not born through propagation of the seed of Adam, since by that propagation they contract through him, when they are conceived, injustice as their own,
SO UNLESS THEY WERE BORN AGAIN IN CHRIST THEY WOULD NEVER BE JUSTIFIED, since by that new birth through the merit of His passion the grace by which they become just is bestowed upon them.”
You hold the contrary, that a man who has never been born again can be justified.