Hello Manas,

I am not sure about entering in H1B, but you will be or your spouse and kids will be confronted with a lot of questions if you use the AP to enter the US. So, don't use it and travel if you really do not have to. I have heard from many people that they are asked different things from the begining while travelling on AP. If you are travelling using AP, be sure to carry all the pay stubs and all the documents from the begining and also have every thing regarding your immigration status worked in your mind so that you can answer every question directed at you.

Good Luck!