Will me getting government assistanse affect my boyfriends case in proving "extreme hardship on his kids" ?

This is something that you cannot do by yourself. He can easily be denied.

Re-entry permit on asylum

Recently permits are for green card holders. You are not eligible for one.

Asylum Withdrawl

You need to have someone look at all this. We cannot help you further without further analysis.

Travel to nepal

Generally yes as it is a legit travel doc from the US. But always check with the countries embassy/consulate for info such as do you need a visa...

Withdraw asylum after interview and before approval

Honestly you are asking for trouble here. It sounds like your application was not truthful. I hope you understood the process before you filed. You...

No. There is an entire procedure you go through. You really need to hire an attorney to do this for you!

When to withdraw asylum application

It's just a letter. But be careful. The situation sounds like you may not have been truthful in the application if you are willing to return home...

No. The joint sponsor is enough.

I FILED AN I 130 5 MONTHS AGO, MY WIFE IS PREGNANT AND SHE IS ALONE AND HAVING A HARD TIME, WE NEED EACHOTHER.CAN WE EXPIDITE

We don't really have all the facts here. Are you a green card holder or a USC? If a USC you can apply for a k-3 visa. If you only have a green...

Passport

You don't have to have a passport to adjust status. And as a green card holder you don't have to have a passport unless you want to travel.