This, make sure you take the time to review what's in the agreement. I've been in this situation very recently and got an agreement on the spot that looked good and was tempted to sign right away, partly due to all the emotions that were there for me, it is an emotional event. But I took it home and allowed time for my rationale brain to think it through and realised I wasn't getting some things I was entitled to, due to an admin error (I genuinely believe it was a plain error).

So take it home let the emotions fade and think it through.