My green card expires Jan 5, 2013. Do I file I 751? When can I file for naturalization? Does naturalization process take long?

You file a 751 within 90 days of the expiration of your card and not before. On October 5, 2013 you should be eligible to file for citizenship if...

I am an international award-winning musician and fulfill at least 3 of the EB-1 visa requirements.

Even if you can get the visa approved, you would need to leave the U.S. since you are not in status, and obtain your visa abroad. You may be...

How can a federal witness w/ fraud record(caused by a scammer immigration lawyer & scammer employer) with ICE legalize?

If they entered legally, the do not need to leave the U.s. to adjust based on USC children. However the fraud waiver requires hardship to the US...

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I am currently in B2 visa and waiting for an H1B processing with an employer. My B2 visa stay is only until 27Jul.

Since the starting date for your H1b si no earlier than October1st, you very likely do need to file an extension of your B2.

What happens when a I-129F petition is processing and either and I-140 or EB-1 or EB-2 Work visa is submitted afterwards?

If the job offer is bona fide, it could work. However the USCIS will note that two petitions and may question one or both of them, since either...

You may be able to count the time working for the current employer if the job offer is one that requires a masters or bachelors plus 5, and your...

Continuous Residence vs Physical Presence

Sir: Without knowing what application you are filing, I don't know why you need to show continuous residency. If this is for a 212(c) waiver, you...

Respectfully, those are questions for your sister to ask.

Does GC needs to be valid at time of citizenship interview?

Yes.

The oimmigration officer of green card marrige didnt ask us any question about our relation ..is that normal

Each case is unique. Perhaps your documentation was sufficient, or perhaps it was so insufficient that there was no need to ask.