I WANT TO WORK IN USA LEGALY. I know your office from my previou trip in NYC

It depends on your age but you are likely looking at a minimum of 10 years by the way you propose

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?

There should be no problem as long as the case is not fraudulent

You not use experience you gained with Petitioning employer unless is was is a substantially different job

Generally, a person who entered the country illegally and is here without proper immigration status must return to his/her home country to file an...

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

Most of the time, it is ok

What should be filled in "PLEASE PROVIDE INFORMATION CONCERNING YOUR ELIGIBILITY STATUS" box in I-765 e-form.

Have you rad the USCIS instructions? http://www.uscis.gov/files/form/i-765instr.pdf

Citizenship Application

1. yes 2. Most likely yes, depends on your district For more info see link below

EAD renewal (I-765) is pending for over 112 days in INITIAL Review: SR, INFOPASS, SENATOR inq, Ombudsman inq done

You could file a writ of mandamus in federal court

Is it possible for my boyfriend to get relief from being deported even though he has been deported once before and is illegal?

Unlikely

This should not be a problem as long as you can find a co sponsor who can help you overcome the financial burden See link below for ifno on the...