What to consider while specifying US citizen fiance(e) as close relative while filling in DS-160 form for H1B visa renewal?

No, a fiancé is not a relative. It is not recommended to enter the U.S. as a nonimmigrant, with intent to marry a US citizen.

Can I file I-130 petition for my wife in USA and take re-entry permit for 2 years then go back to my country to live with her?

It's a problem, since you will need to show residency to file the I-864 Affidavit of support. Better to file for her when you are ready to live in...

Not enough information has been provided. I assume you mean that someone filed a visa for your mother before April 30, 2001, and you were then...

Question about getting the Green Card.

No, having a baby in the U.S. does not qualify them to apply for a green card.

Is it legal to stay in the United States after my tourist visa expires, while I wait for my sibling visa to be processed?

You cannot stay in the U.S. based on your sister's visa petition.

Need to know what I need to bring to apply for my l2 visa my husband has his l1a, what do I need for evidence at the border?

You should apply for the visa at the U.S. embassy or consulate near where you live, not at the border.

Like to file US Immigration for parents, and adopted brother (8 years old)

No, your brother will not automatically come with your parents, you need to file for him separately.

Immigration rights ? what forms to file for re entry from Mexico? deportation was recent// How much more to wait?

He must spend 10 years in Mexico since his last attempted illegal reentry, before you can file for him to immigrate.

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Will I have trouble entering the US for vacation?

Yes, they may question you.

Entering the US on a B1/B2 visa with the purpose to claim asylum, do I have to be worried?

You can request asylum at the port of entry. Be aware they will most likely detain you and you may be held for a long time. You need to have, or...