Can I change my status from F2 to F1 although my spouse is not willing to do that?

yes you may change and that is your decision alone. You may do it yourself but recommend you obtain an attorney.

How can I fill out the AOS form correctly and get correct financial evidence documents for my interview ?

Have an immigration attorney review your filing to answer your specific issues. The specific information needed cannot be determined from the...

The No objection should be for both if they are both indicated. You may apply at anytime.

1. The I-765 will not necessarily be cancelled 2. When you return to the US you will be readmitted with a authorized period of time

With EAD an application for SSN is permitted.

That is not accurate as you must make a substantial investment of your own. Being on E2 does not directly lead to permanent resident status.

Possibility to convert white card to green card

If the white card to which you are referring is an I-94 it is extremely unlikely that there is any basis to securing resident status (green card)...

I changed my last name through nuturalization and I forget to bring my proof of my last name changed paper

Your naturalization certificate should be evidence of proof of your new name. if you need further direction consider contacting the immigration...

Am I eligible for the citizenship?

You are subject to the 5 year Good moral character period and may apply 90 days prior to having completing 5 years since becoming a US resident...

Can I stay in the US using my M1 visa, even though my program of study is over?

The admission time was for one year but the admission purpose for was particular study. When the purpose of the travel ends so does the authorized...