This is not a parent-child relationship, what's with the rules and consequences deal?

You dont need to prove or change anything 'like he did' bcoz you were not the one who cheated. If anybody should be making rules in this relationship it should be YOU! He has NO reason and NO right to dictate who you see. End of story. Excuse me for being blunt, but your relationship is unhealthy, things need to change before they become toxic, if he doesn't want to loosen his imaginary grip, I suggest you RUN