No this will not be an issue for GC purposes.

You can contact NVC to make corrections.

Not VAWA unfortunately but possible U visa.

The baby can immigrant with primary parent.

A scanned copy is sufficient for interview purposes.

This should be your current married and legal name.

You should contact USCIS directly to inquire.

Yes this is still an option despite the previous mailing.

The FOIA will not help with case status unfortunately.

Yes this may be taken at local pharmacy.