The C9 category does not require additional fee when filed with i485.

You may remain while the AOS case is pending.

It can take much longer than a month.

Her case must be reviewed in order to determine merits of possible case.

Depends on current processing times at embassy. Contact embassy for further guidance.

You need a travel permit to travel while AOS is pending.

Yes this is possible and should be prepared for.

Best to consult with an attorney to review your options. Good luck.

Obtain a copy of your records through FOIA request.

A copy of the I485J should suffice for RFE.