India

If it is not approved, don't do it because you would be ineligible to apply for job anywhere and also to give the bar exam which is compulsory to become an advocate. Pursue it from DU, BHU or even CCSU, but not from an unrecognized place.

BITS does has a seat for the board toppers and looking at your percentage it can be surely said that you must have topped in your state. You should apply here.

https://www.shiksha.com/b-tech/colleges/b-tech-colleges-india
Visit this link to find all the engineering colleges in Andhra Pradesh, select the filter from the side screen to your state preference.

Here is the list of colleges accepting SAT
https://www.shiksha.com/b-tech/ranking/top-engineering-colleges-in-india-accepting-sat/44-2-0-0-418
Hope it helps you well.

Hii. Yess you have a chance. Here you can go and check his website for your doubt. https://www.shiksha.-unversity.

Eligibility for getting admission in Punjabi University in M.Sc physics is
-Candidate have passed B.Sc. with Physics and Mathematics, the third subject may be any other, Chemistry/ Computer Science/ Electronics/ Computer Maintenance etc. or done B.Sc. (physics hons.)
-Admission is done on the basis of merit in qualifying class.