The ceremonial and sacrificial laws are done away with - the Scriptures do not teach that God's moral laws are no longer applicable (in fact that would contradict many passages). Again, show me where ANY other passage that teaches certain things are an abomination to God and that these are done away with, then maybe this one is too - but if none of the other abominations are changed, then this one still applies too.

What does Deuteronomy 22:5 refer to? Women's clothing are skirts and dresses - and men's clothing is pants. If you are not convinced of that, then I encourage you to study out the history of pants (and skirts/dresses). Were they male or female garments at first, how did they change - is it acceptable to God for the opposite sex to be wearing them now? God has not changed - if something offended Him 3500 years ago, I believe it still does.