Would I lose my Green Card if I work abroad with an American company?

First answer -- file for reentry permit before you leave for one year or more. Second answer -- consult a tax lawyer.

J 1 denied

If you were denied because of your grades and you reapply with the same grades....

Filed i751 late

If you are not unreasonably late in filing and have a good explanation, the Service will consider it.

Exactly what the question asks: Last address outside of the U.S. that you lived at for more than one year.

Illegal Immigrants

You are over 21 and unless you are 245(i) protected for an illegal entry, you are facing an uphill climb. Do you have a US citizen fiance/ee whom...

Yes.

There was break in empoyment for 5 mths, same employer rehiring me -new I797B. H1B stamp valid till 2013. Do I need re-stamping?

No, you can reenter on the still valid visa to work for the same employer.

Selected as the best answer

Immigrants adopting a US Citizen

She has to be 21 to petition for her parent.

What should I fill for "Applicant's employment last five years in form 325 a ?

Give those dates as "unemployed"

Help on Child Citizenship Act

You are referring to the Grandparent exception to convey derivative citizenship on your children. If there is no grandparent of your children who...