SRM Institute of Science and Technology, Kattankulathur

First, visit to the university official website and find out which documents are needed at the time of counselling and from there you can have access to all the procedure.

Ye, for sure. You can get into SRM, Amravati campus or even in Chennai campus.
So, all the best.

I think it's better to continue in SRM. SRM is among the top universities in India in which you can enrich your professional skills and increase your skills in cultural as well as communication skills. It is well known for both knowledge and research-based education which helps a lot in placement or your further studies or research.

Go and contact the admission desk in any SRM campus in which you are willing to join because there is open counselling for the vacant seats. But first, check the website for the details of vacant seats.

Amity Law School is a better option to pursue. Bharti Vidyapeeth, Delhi is affiliated to GGSIP University, so you get a brand value. SRM University's law isn't recognised much until now. GD Goenka is good but Amity has a better brand value.

Kindly search for School of Basic Science.

You have already made your decision and there should be no regrets now. It's good and even if it's not good, you should make it good with your hard work.

You can apply online

No, it's not possible because SRM is a deemed university which is having its own engineering entrance exam SRMJEE. One must secure a good rank in SRMJEE to get a seat in SRM University.
I think SRM Andhra Pradesh campus may have a consideration on Andhra Pradesh EAMCET score for vacant seats. So contact SRM Andhra Pradesh campus admission desk.

SRM KTR is good and also there is good placement in CSE. It is one of the oldest college of Chennai and the main campus of SRM. I don't know about BVP but if it is a private college.