Should I file adjustment status to permanent resident as I'm staying in the usa with my travel visa or from my country?

You can get a green card on the basis of your daughter's petition without having to leave US. Provided, of course, that you are otherwise...

. My question is can he file for adjustment of status for me after he obtain his permanent residence? I know he should have appl

The solution is to hire a lawyer because you have a complicated situation. You provided lots of irrelevant information but neglected to provide...

Marriage/ Green Card/ Sponsor

Check Form I-864P. Any deficit in income may be covered by liquid assets with the value five times the deficit. Regardless of the income the...

Immigration/ Work Permit

In most cases it's absolutely irrelevant but you didn't even state what kind of interview and what immigration benefit you are seeking.

I have an approved i-130 from my father and my i-485 interview did not go well as my petitioner was not in the states.

If they deny (and they most likely will) you should probably re-apply rather than file a motion to reopen/reconsider. That would be a faster route...

What is the next step and how much I have to wait for interview?

It may take several months. If approval has been re-affirmed there are rarely any other issues that may delay the process.

Can I leave right after my AP approved?

Just make sure that you have never been in a removal/deportation proceeding, otherwise you will self-deport.

Why uscis is asking for more evidence about my I-129F form?

remember that the burden of proof is on you. Maybe you can provide your parents' affidavits that they are aware of your forthcoming marriage,...

You can check here: http://www.uscis.gov/about-us/uscis-office-closings

Can an I-751 WAIVER based on good faith marriage be approved with this evidence?

No, it doesn't look good. In fact, it looks very, very bad.