Yes, based on the information provided you will require a waiver.

Yes, that should be sufficient with your valid green card.

The absences may present a problem for naturalization. Best to have an attorney review or eligibility.

Work with an attorney right away and file the appropriate documentation with explanation.

You may petition for your wife but she will likely require a waiver. Consult with an attorney for guidance.

More information is needed about the notice to appear. Consult with an attorney for guidance.

USCIS can take up to 120 days to make a decision.

Provide religious membership letter at time of interview.

This should not be a detriment to the GC application although details may be requested.

You must establish domicile in the home state from which you are applying.