If you are eligible for an E2, you can file for a change of status to E2 while your other application for change of status is pending.

The consular officer could find you barred based on reason to believe you committed a crime. To get your disposition, contact the prosecutor's...

Generally only the person who makes a material misrepresentation is barred from admission, not the rest of his or her family or friends.

It means they are looking at the application again to see if they should approve it, deny it, or ask for more evidence.

Normally they terminate it automatically but you could notify them also.

If the court terminates your removal proceedings you will be eligible for advance parole and you can travel when you get approved for advance parole.

They should file in the U.S. for adjustment when their number becomes available.

I don't see why you could not do that, unless they cancel your H4 or they hold your passport.

You can type it or write it by hand if you prefer.

Check the reciprocity tables at https://travel.state.gov/content/travel/en/us-visas/Visa-Reciprocity-and-Civil-Documents-by-Country.html