Colleges in Tamil Nadu

Hello,
There is no upper age limit as such for pursuing MBA from Nirma University, Ahmedabad. Though one needs to have scored at least 50% marks in graduation to be eligible. Here's the source link. https://management.nirmauni.ac.in/admission-aid/postgraduate/mba-and-mba-hrm/

Yes, you can apply for the exam.

You can visit this link.
https://www.shiksha.com/college-predictor

Eligibility Criteria (Qualifying Exam)
Pass with 60% aggregate marks in Diploma (Engineering.) (any stream) 3 years after 10th or 2 yrs. after 10+2(Non-Medical) or B.Sc.(Non-Medical) or B.Sc. (Hons.) Chemistry or equivalent, subject to qualifying LPUNEST.
(5% relaxation to North East states and Sikkim

No, Tamil is not compulsory subject for BBA. If you are pursuing BBA from SRM. It is optional the college offers language such as French and Hindi as well. I am stating the facts during my time now the options can be more but one thing is sure Tamil is not compulsive

You should ask this from your respective university that will they allow you to appear for the same or you have to get admission again for the course.

As you have already done your graduation, so it is required to go for CLAT else not possible.

PSG College offers Postgraduate courses in MCA and MBA. It also offers MBA in part time. Minimum eligibility for MBA and MBA (Part Time) is graduation in any discipline from recognized university. For MCA, candidate must pass in BCA/B.Sc.

Yes, there are 3 chances for JEE Main. You can apply for it again.