What is the correct way to apply for resident visa for my Australian husband.

You can have the visa processed abroad or file to adjust status when he arrives in the US. If he does adjust status, make sure he explains why he...

Visa inquiry

You can certainly apply for the B visa but it's not clear from these facts whether it will be granted or not.

My I-360 was recently approved, still waiting for an interview. I also got advance parole earlier. Is it safe for me to travel?

You haven't had your interview yet, so it's not likely approved. The safest course of action is to not travel until your application is approved...

You should disclose it. Once you do your biometrics they will do a criminal background check and it will pop up anyway. Better to get out ahead...

Can I obtain a green card by being a legal guardian to my US citizen brother?

No, you cannot. You can obtain a green card if your asylum case is approved but will take years. Also, it's unclear what your chances of success...

You cannot file anything for her until you are legally divorced. Polygamy is not legal in the US.

How to expedite a non-immigrant P-3 visa appeal ?

You can certainly file an expedited appeal. It sounds like you might need a second opinion. It's impossible to judge the merits of your situation...

Can I change my F1 visa to EB-4 visa as a Priest?

It depends but it's certainly possible. I would need more details to provide a more in depth answer.

N-400

Make sure you are using the most recent form. Also, you only need 3 years of taxes.

I am awaiting a renewal for my new green card but they put an extension sticker on the back of current green card. Can I leave?

Yes, but be sure not to leave for more than a few months.