Emergency travel with an expired greencard before attending my master hearing (removal proceeding) How do I return home?

Unfortunately, my answer is the same as other counsel. You have self-deported.

Can I travel out of US and re-enter on my valid L-1 B after my H-1 B COS has been approved.

I agree with counsel that purpose for re-entry is relevant to your answer.

Am I eligible for H-1B?

It appears that you may qualify, however you will first need to find a company with a qualifying position in a qualifying specialty.

Which visa should I apply for H4 or visitor, which would not cause issue when I want to change status to H1?

You will need to spend some time with an experienced immigration to ensure that you make the right decision in your case given the numerous...

Renewing permanent green card

Criminal charges or convictions can affect your eligibity for renewal of the permanent resident card. Therefore, you need to contact and consult...

The difference.

They are all different ways of saying the same thing.

I would recommend getting a co-sponsor to be safe.

US citizen, but not able to get passport because birth certificate is block, is flying(domestic flight) an option?

Assuming that he is a U.S. citizen, there would be no reason for him to be deported. However, without a passport it will be difficult for him to...

Renewal of permanent resident card

Renewal should not be an issue with current child support. However, would require more complete background information to give a more thorough...

Unused expired H1b want to change status from L1B to h1

Given the complexity of your situation and the potential consequences, you will need to consult with experienced local counsel to obtain the best...