Can I have my immigration for me & my family even when I live out of USA ?

Unfortunately, you have settled in Iran. You have lived there for too long to be granted asylum based on events that occured in Iraq. Perhaps...

Can I go on vacation outside of US after applying for naturalization?

Asked and anwered at least 3 times. Goodluck

It will be tantamount to abandoning your H1B status Goodluck

Can i travel?

You will ideally need a passport for your travel. Goodluck. Ekaette Lawyers.

I just apply for I-751 - Petition to Remove Conditions on Residence 3 weeks ago and My spouse is asking for a divorce.

If your marriage was in good faith you should be able to remove the conditions after divorce. It will no longer be a joint filing but you would...

What happens to my advance parole application?

It will be processed in due course. Goodluck. Ekaette Lawyers.

Make an InfoPass appointment to obtain another stamp, explain the circumstances to USCIS, you should be accommodated. Goodluck

How can an adult US citizen with Filipino parent(s) retroactively register their (dual) citizenship?

You may wish to contact a lawyer licensed in the jurisdiction of your question. Goodluck.

If you are not available on the scheduled date, assuming this is the wedding to be this year for you, request another date. Goodluck

How could I give an answer on relatives information(names, birth date, and places)? A

It is imperative to be completely transparent on.your visa application forms. To do otherwise will lead to undesired results. Goodluck