The employer is not required to offer to sponsor you.

Yes, you can put the answer on a separate sheet. Yes, you can complete it by hand.

There is no harm asking for that. It is up to the consulate to decide.

Using one's work permit to work does not violate one's status and does not preclude one from filing for an H4 visa.

You can file to change or extend status. If you want to be a student, you may wish to file for your visa outside the U.S.

The best way is to meet in person outside of the U.S. and to file for her to come to the U.S. as a fiance.

If you are mailing the application, send it on one sided, 8.5" by 11" paper.

If you were approved, it should take one to two weeks to get the notice.

One cannot be issued a visa before it's priority date is current.

I have never had a problem using the married name on the forms.