THis was pretty hard to read. You jumped around a lot so it was hard to tell what happened when and to who.
It could be a timing belt broke, shreded or skipped a tooth. the not turning over thing sounds like the timing.
When you say cams in backwards I assume you mean swapped the intake and exhaust since installing the intake cam on the intake cams side and swapping ends is impossible. Never heard of a car running with them switched but can't imagine anyone trying this to find out.