60 days grace period on H1B?

What was the reason for the withdrawal? You should consult with an attorney.

Can my husband change status or can I sponsor him? I am permanent resident and he is still waiting for his asylum case.

You can file for him, but he will not be able to get a green card based on that until you become a US citizen. Also, depending on his entry (legal...

He will stop being your dependent, yes.

How many months can I stay outside of USA as I am US Citizen ?

There is no such a requirement that a US citizen must live in the US. You can live wherever you would like.

Can i apply for work authorization if i was granted parole recently?

You need to file your application first, and then wait for 150 days to pass to file for a work permit.

Single, unemployed, but strong ties to home country. Can I apply for a B2 visa for a short holiday to the US?

It is impossible to predict what will happen with your tourist visa application. Sorry.

Travel with I131 pending vawa?

Both PR and Hawaii are US States, so you should be safe to travel there.

Usually, a person does not have issues returning back on parole. A paroled person can adjust.

Can I still continue my education in USA if I lose my asylum case?

You will not be able to get an F status in such a case.

Hi ,can some one fly back to home country ?

If you would like to depart the US, you can just do it. You do not need to do anything special. But, you should let Asylum office / Immigration...