No you should indicate all children if form if requesting this.

You may but separate applications in the submission.

Indicate the closest category to your occupation.

Yes this will definitely be scrutinized given timing of divorce and marriage.

Respond with new I864 and explanation as indicated by NVC.

You may apply 180 days prior to expiration of EAD.

Issues with someone with a variation of your name.

You may indicate change of status pending.

No this alone will not impact naturalization.

Yes but this isn’t necessarily advisable.