I130

It really depends upon the facts of your personal situation. There is insufficient information in your post. kind of evidence that should be...

Yes if you change names you would like to keep all your identity document with same name. you are not required to change your name though.

I heard about fee waiver for n400 form for low income.

You should apply for fee waiver and if USCIS approved it you can file without the fee. I strictures na would be on USCIS website

Can I change job from a non-profit to a for-profit company after I-140 approval?

If you would like to change to this employer through an H1-B you must be counted against the cap which means not this year.

I have question about advance parole

It appears you have an attorney who helped with administrative closure. Ask your attorney about it

You should check with an attorney for advice

Once the petition is approved you should receive letter about further processing. It is however possible that your fiancé has completed the visa...

No arrests are for a serious reason. If you are concerned please check with your attorney who helped you at the withholding of removal.

Can I change my visa status from F2 to F1 from USA ?

You certainly can apply. Hopefully you will get it all in time for classes start. Good luck!

Can I renew my green card if its expired with in a year?

You have more than a year and half to go with that date but I am not sure if it already expired from the title.