Taking a new job on H1-B do I have to also apply for my spouse H4?

In this very rare situation she does not have to extend her H-4 status. Doesn't your attorney or her attorney know this?

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Can an employer hire you at Georgia site that participates in everify but moves you to NJ site where they don’t use e-verify?

No, you cannot move to a non-verify site. And you must comply with the STEM rules until you receive the work permit from the marriage case.

Can my mom travel with me with Advance Parole?

The travel permit she has IS advance parole so she should be fine. That exit is not counted as leaving the US for purposes of unlawful presence.

Can you work at any employer location if your employer participates in everify?

You can work at any of their locations if your STEM application is set up that way or you get the EAD through your marriage case.

50% ownership used to be allowed but it is not anymore. So only one of you can get E-2 status as an investor. The other one may qualify as an...

If he gets married to his girlfriend, but she has been convicted of smuggling immigrants before will they allow her to petition

If that is the only conviction, then the case will be fine.

Can my girlfriend get divorced without deportation?

She needs to discuss/consult with a Board Certified immigration attorney. Good luck.

R1 Visa and I485

You can do that but your work permit will take 5-6 months so you can either extend your R-1 or not work for several months.

Can i travel to US if my husband has filed a case against me in US?

Yes, you and your son enter the US if you do it quickly and then hire an attorney to find what, if anything, he has filed.

Can I apply to MS program while living in the US and OPT STEM extension being denied?

You only have about two months of unlawful status so you can either try to be reinstated (best first option) or apply for a new visa (second and...