I would say check with your doctor just in case...besides there's far more complications to deal with besides delivering on a plane...like a clot in your lower extremities from sitting for too long.
If you do end up going, just make sure to get up and walk if you can to keep the circulation up. Have fun!
Yes. You can fly now. It's later in pregnancy where you probably shouldn't. I think the biggest issue is delivering the baby on the plane. (No one wants to clean up that mess).