Can I do freelance work from my home country while waiting for my greencard approval?

As soon as you get your employment authorization, yes, until then, no.

Can I apply for Obama care with my wife while waiting for a decision on a pending Adjustment of status case.

You should contact the officials administering Obamacare regarding this. There is no immigration law, permitting, or prohibiting people from...

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F-1 visa holder - earnings from Hosting?

Is this a tax question? If the question is about whether there is a violation of status, passive investment earnings should not be considered...

Should I try to fight this case?

this is not an immigration question, contact a criminal defense attorney.

Naturalization documents needed

I would recommend it. Often there is a spelling discrepancy or other issues.

Affidavit of support

Your unauthorized income cannot count, your income when authorized can count.

COS (h4-F1). Filed via ELIS. Received RFE. Submitted Documents via fedex. Denied.

Read the denial and see why they denied it.

No evidence, I mean absolutely no evidence and i751 approved, I mean WTH?

In fact she probably did submit substantial and persuasive evidence, which she did not share with you.

What is the procedure to obtain social security allowance for a Canadian working in USA on TN-visa for more than 10 years?

It is not an immigration issue, but my understanding is you cannot get US social security without a green card.

Can I show at the US border and ask for asylum even I have 5 years removal I am afraid to stay in Mexico.

You can apply but it does not mean you will be approved. Fear of the mafia is not a basis for asylum.