Would the processing of my Kid & Wife's Green Card F2A discontinue because of the New travel Ban on Libya?

Since you have already applied, perhaps it will be approved. It is difficult to say for certain at this time.

Can u file for vawa?

Yes, you can but you will need a lot of proof of the abuse. It's not easy to get VAWA approved without a lot of evidence.

If the H-1B is revoked, then so will the H-4. They will all be required to leave the country, unless her VAWA petition is approved, in which case...

She is on their radar now, due to the complaint. If she is involved in a crime and has overstayed her visa, she might be slated for removal...

I 360 and I-485

You can submit them at the same time but the I-485 will not be decided until after the I-360 is approved. Given the situation, it would make sense...

It probably won't be denied but it will be delayed. They should provide you an opportunity submit the medical forms.

I have been married to a US citizen for 7 years. But I was deported by INS before my marriage and I re-entered the USA again.

You can certainly apply for your green card based upon your marriage. The problem is the multiple illegal entries. You will need a waiver in...

What happens?

You should probably pick one or the other but it's difficult to say for certain because your question is confusing.

You need to hire a criminal defense lawyer and get the charges dismissed. Otherwise, misdemeanor for theft may haunt you for a long time. This...

It does not seem like a good idea. The question remains whether your VAWA petition is strong enough to be approved. It could also come up at your...