Check out processing times at the USCIS webpage and consider consulting with an attorney for interview prep services.

If the I131 was not returned with rejection notice, it is likely being processed.

Obtain a notarized statement from the landlord indicating your residence there.

It appears yes for you but no for your wife.

Best to consult with an attorney to review the actual filing and determine next steps.

The I864 is not required for employment based processing.

No the abuser is not impacted by the filing.

Unclear without reviewing your case history. This does happen in many cases however.

It is best to consult with an attorney to review your questions and provide guidance.

The date of marriage would be from last month.