Am i eligible for asylum??

Based on the facts you provided, no. To be granted asylum you must first file within a year of arriving, second, be in danger of persecution. War...

Since I was on H1B visa for only 3 years and 3 months, can I apply for another extension since H1B is good for 6 years?

Yes, you can get 3 more years on an H1b.

Iam on l2 visa i had accidentally accused with shoplifting , the case will be dismissed should this affect my renewal of visa?

No, it should not affect anything, but keep a certified copy of the dismissal.

Will my record hinder me from getting my citizenship certificate?

If you are a derivative citizen from your mother you have nothing to worry about. That was before the Child Citizenship Act of 2000, but you...

Is F1 status necessary for adjustment of status before green card is approved?

Adjustment of status and green card approved means the same thing. To file for adjustment based on marriage to a US citizen, you need to show...

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Does receiving a social security card mean for i130 was accepted?

No.

I got my H1 this year and COS denied and filed MTR and got no reply yet..In the mean while I went to my country and got H1 stamp

Leaving the U.S. abandons your request to change status.

How can I apply for legal residency for my husband who is an undocumented immigrant?

You can file a petition for him to immigrate and he will need to leave the U.S. to get the visa.

What can i do to fight deportation to mexico for domestic charge? Remarried and a legal resident for twenty years.

Generally domestic violence as a misdemeanor will not get you deported. You should get an attorney to vacate your guilty plea anyway.

No, you cannot do that. Nor do you need to do that.