JoeF

Should not cause problems, but tou never know with the current administration.

It was not "pronounced fake", it WAS a fake university from the start. The owner now serves a 16 year prison sentence. The NTA will be in her file. She does not have to volunteer information, but she needs to be truthful when asked about it. She entered with an H4, and if everything after that was clean she should not have problems.

They often approve the visa only until passport expiration.

The first hit on a Google search of "US adoption by h1" will give you the answer. Took me all of 5 seconds to enter the query...

An H4 EAD will only be processed when the person is in the US in H4 status.

Simple answer: You can't.

The rule is that a new I-129 (H1 petition) can only be filed when you have been abroad for at least a year. As far as I know the new H1 lottery rules don't change that.

You haven't been outside the US for a year, so your employer can only file a cap-exempt H1. It is not possible to file in the quota.

The I-130 shows immigration intent, which is not allowed for visitors. The likelihood of getting denied entry if they travel on a visitor visa is very high.

Do NOT stay past the max-out date. Eventually USCIS will find out that they made and error and they will retroactively change the end date. If you would stay longer that would result in you being illegal.

A was required by law to inform USCIS that you no longer work there. If they didn't do that they would have to pay you for the time you weren't there. If they want to hire you back they have to file ans pay for a new H1 petition.

You need to wait for the EAD to work.

Yes, it is possible, if you have been outside the US for at least a year before the new filing. In that case, you would get 6 years if selected in the quota.

On H1 you need to get paid all the time, even on bench. If you didn't get paid you are out of status.

That depends on the size of the company.