Colleges in Tamil Nadu

No, The admission is based on 12th marks.
VIT has entrance exam only for Admission in B.Tech and M.Tech (PG only) courses. And no entrance for any of the UG or Integrated courses.

It's difficult to get CSE branch. But you can get other branches in other rounds.

For knowing about the admission process, refer the link
https://www.shiksha.com/college/psg-college-of-technology-psgct-Coimbatore-19398/admission

EIE in DSCE is much better option. But, why you want to take ECE in CMRIT? I mean are you made, at the ranking of EIE in DSCE, you can easily take CSE or ISE in CMRIT.
But, CMRIT stands nowhere near DSCE.
CMRIT is new! Don't take anything other than CSE or ISE there.
Just go for EIE in DSCE, It is comp

The per year fee for B.Tech information technology at Loyola ICAM college of engineering and technology is :
INR. 65,000 per year
INR 2.6lakh for 4 years.

Its difficult for you to get admission in CSE, but you can get admission in other branches like IT, ECE and others.

Yes, with this JEE Percentile and 12th marks, you can get CSE in Sastra University.

There are highly less chances for other state students to get admission in Anna University. So, kindly go with other Institutes, and use the college predictor tool to know which college you are eligible to apply. https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

Yes, you can get admission in CSE with this rank in main campus.

For M.Sc Psychology, the application has started. Go to official site. www.annamalaiuniversity.ac.in
Yes, Annamalai University is NAAC certified. Granted by UGC. It is offering lots of undergraduate and post graduate degree in different courses. You can do M.Sc from Annamalai also through regular or