Must stay out of the US for one year. Sorry.

Yes as the applicant leave it blank.

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Request for citizenship

The principle ways are family, employer, and diversity lottery. Asylum too but your facts did not seem to fit.

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Nope not allowed as 1099 as he is employer and 1099 days you are.

Can I stay on H4 visa after completing 7 years on my L1-A visa?

You can stay as long as your spouse's H1b is valid.

I have an approved I-130,F4 filed since 3rd March 2003.the affidavit of support was completed, the visa application was complete

I would guess at least a year and maybe a year and a half.

How long can i stay in us once my extension is filled and pending with usa.

You can stay up to 240 days or the extension approval date which ever comes first and yes you can start working for the new guys upon receipt of...

US citizenship: When can my wife apply for citizenship as she got her conditional greed card in Sept 2013?

Yes but it will not be approved until the I-751 has been approved.

No you cannot reopen the withdrawn H1b as that fiscal year is over.

I have two f1visa's one is cancelled without prejudice and another is valid? Will get problem in port of entry??

Depends on which one was issued last.