The requirements to be allowed to work are an unexpired I-94 showing H4 status, and a timely filed application to renew employment authorization as...

I don't see why you could not do that. If you were picked in the lottery already, it should make no difference if that H1b is part time or full...

You could ask the Department of State and USCIS to expedite the waiver. Otherwise, USCIS can deny your I-485 if you do not have the waiver at the...

Get a translator. Your inquiry does not make sense in English.

It is likely that you will need a fraud waiver, after the five year ban for your expedited removal.

A U.S. citizen can sponsor his or her children to immigrate to the U.S.

This is a good question for a Mexican attorney, but this is a US law site.

Yes, if your salary is high enough deducting that amount. Yes, the employer can withdraw the H1b without notifying you. But they can't employ you...

If you are not stating on the form that you are a U.S. citizen, there should be no issue.

If you get nothing after six weeks, it seems to me, you should follow up with them.