How long can i stay outside the us on a travel document?

If it is a reentry permit, up to 2 years.

Will I have problems coming back to USA with my newly obtained green card that I got after won my deportation hearing in court?

You will probably be questioned so keep the judge's order and your criminal dispositions with you whenever you travel.

How can I get divorced living abroad?

File for divorce in your country. Hire a lawyer in your country and ask him or her what you need to do.

Is it easier for a foreigner to get a tourist visa to come here if they own Property here and in their own Country?

Yes, that is evidence they have an unabandoned foreign residence to which they intend to return.

CAN USCIS REVOKE MY ASYLUM?

Your approval for asylum should depend on your fear of persecution, not on whether the organization which you fear is on a terrorist list.

I just received my EAD this week. The name used on my asylum application was incorrect thus the same is true on my EAD.

If you can show you cannot afford to pay the fees, it may work.

H1b transfer - chances of Denial

The question you raise is whether you can port to a new employer where the job title and duties are very different. For H1b portability there is...

Is it true my fiance cant sponsor me if he still lives at home?

If your fiance is a US citizen she can sponsor you and you will need a waiver in order to return to the U.S.

Legal guardians bringing ward with significant intellectual disabilities into the US.

You could try humanitarian parole. But if you want to be sure you can bring the child to the U.S., you may first need to do an adoption. If you...

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Marriage green card denial

I assume the visa was approved, but adjustment was denied. There is no waiver for making false statements in an asylum application.