Exam

Yes, it is compulsory to take this exam for admission to this college.

Yes, you can get a college, but not a good college and you can get private colleges by paying some extra fee.

For JEE Mains, you should first join a coaching (avg. not necessarily popular but teachers should be available there for every question) and regular study is needed, and most importantly you should read your NCERT books first then complete all modules including DDPs given at the coaching institutes.

If you get any government college then definitely go for it and if not then you can try for any private college. Click this link to know the details:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Good luck.

There is a very good chance for you to get NIT-H.
You can refer the link to know more: https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Good luck.

You will get the admission on the basis of previous degree's result and merit basis. No entrance exam is there for M.Com admission at SD College.

Above mentioned link give you all the details: https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
All the best.

Just click on the mentioned link for every details: https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

Yes, the minimum score required for TCS, Madurai in NATA examination is 80. As you have cleared the cut-off range for this college, you can easily get admission.