Which parts of the NT were written before the death of Jesus? Please cite your sources.?

The quoted material you supplied is indefensibly wrong. The author of that quote has no concept of the wonderful world of biblical scholarship which is available to believers who genuiinely seek the origins and facts concerning the doents of their faith. Sadly, anti-intellectualism is part and parcel of fundamentalist thinking and is thrown up like a magic shield every time some light threatens to their self-selected darkness.