Conditional GC is a "temporary" Card issued before you'd be handed a permanent one.

If your marriage is genuined ( you might need to prove it ) and you divorced before the conditional terms ended, you'd still be able to apply for an independed one.

Yes, you can go home w/ your conditional GC. But, if you were to leave the country before you were issued a GC, you'd require a valid Travel document to enter. Good luck man.