Generally unauthorized employment is not a bar to adjustment of status based on marriage to a U.S. citizen.

Yes, she can file for a new H4 overseas based on her husband's approved H1b visa, bringing the original H1b approval notice.

Could be that they await security clearances, could be there are documents missing, could be there is some other issue, ask them what happened at...

No, you do not need to get a police report. Yes, your receipt allows you to travel while the I-90 is pending.

It depends on the embassy. If the visa category is current, or is immediate relative then it simply depends on the embassy's backlog.

I don't really see why it is relevant, but your employer's attorneys are the ones who get to decide that question and not you.

If the petitioner appeals, in my experience generally USCIS will not put the individual in removal proceedings until there is a decision on the...

Drop shipping is not a passive investment. As such, it is not authorized for someone on an H1b visa category.

if you are working on getting the dates, the do get them first and then file the I-485, rather than waiting for your interview.,

You would have to contact USCIS customer service for questions about their online service and how and when the update your account.