The answer is "yes" based on your writing ..."my first approved H-1B petition."

You may file for VAWA if you are eligible and qualified.

If two or more addresses are correct and valid mailing addresses, it follows anyone would be correct and acceptable address for purposes of AR11...

Until further updates from USCIS, I'm unaware of credit score per se, as a criterion for inadmissibility.

As pending cases move around thousands of USCIS field offices, it is practically impossible to answer your question. You may attempt using receipt...

There are several name variations worldwide. For immigration purposes, begin with names on passport, birth certificate, etc. for completing USCIS...

I agree with my colleague above. Given the inability to file a joint 1751, you may consider a I751 waiver. Relevant supporting documents would be...

Your question is unclear, and your options may be reviewed by a qualified lawyer.

Yes, travel is allowed while H4 is pending. Good luck.

Agg felony conviction may preclude you from US naturalization. Consult with a lawyer to review your case.