Trust your gut.

If I were you, I'd cut my losses and move on. There are just too many red flags.

IMHO you two are not ready for the kid conversation. Your body is telling you this since you've gotten physically ill.

I agree with others. You don't need a counselor to convince you to have a kid! (I think this is one of the most ridiculous things I've ever heard and I think your GF is being manipulative. Scary that she wants kids....)