Absolutely! However since F1 students normally are not authorized to work, the amount you would receive in child support would be zero.

You will be given a chance to admit or deny the factual allegation and plead to the charges of removability. If you are eligible for any relief...

An F2 should be admitted for "duration of status". Your spouse can apply for a B2 to join you in the U.S., and will be admitted for up to six...

If you have been approved for lawful permanent resident status you do not need to file any I-485J. There is no new application you need to file.

There is no category of visas for grandparents of U.S. citizens. There is no visa category for coming to the U.S. due to danger, but if you can...

If you have other evidence of your admission like a stamp in our passport it should suffice. Otherwise, you can file an I-102 for a replacement...

H2A requires nonimmigrant intent, so there could be an issue. H4 should not be a problem, at least not based on the I-140.

If she has an automatic extension of employment authorization, then she is allowed to work. As such, she is not engaging in unauthorized employment.

I cannot tell you for sure, but it seems very likely that they require you to be in valid, nonimmigrant status and not that your visa be unexpired.

No, a receive for a waiver application is not a document that authorizes a person to be admitted into the U.S.