V.Chen
My understanding is that using AP will terminate the H1 status. If you enter the US on Advanced Parole (AP), you cannot work on H1. You must have EAD to work. If want to continue to work on H1, then you must enter with H1 visa stamped from abroad in your situation. The choice is up to you. So, apply for 485, EAD and AP all at the same time..Good luck.