Two Facts:
1. When you leave the country, you surrender your H1 I-94 card;
2. When you reenter the country using AP, you would need a new I-94 card.
Now: two questions:
1. On the new I-94, what category would you be put? H1, Parolee?
2. If parolee, what's the validity date like? Is it duration of status?