Exam

For getting admission in XLRI, you need to take XAT exam and you need to clear their cut-off as well.

It's very difficult to get admission in both the colleges as their CAT cut-off is more than 99%ile and your academic score is also not good. You should try for colleges like KJ Somaiya, Narsee Monjee and Goa Insititute of Management.

Chances are conversion is less as you don't belong to state quota. But still you can take a chance and wait for the final list. Cut-off will be different for different years.

For complete query about MIT-Pune, click on the link and discover the admission procedure:
http://www.mitpune.com/ug-admission.aspx
Hope you got everything.

Yes, you may apply for State exams for different colleges.

Sorry to say, the chances are almost zero but you can get CSE in Vellore if you go through management quota but remember if you go through management quota, you need to pay around 25-30 Lacs in 4 years to complete your B.Tech.

Since you have qualify the JEE main there is fair chance that you get the NIT. But I cannot tell you exactly that which college you will be getting as it will depend on your rank as well as the college particular ranks for branches respectively
to predict the rank you can use this link
https://www.sh

You have to qualify JEE mains in your respective category with not only just passing marks but with a little more than that. The colleges will be allotted via counselling process. For college prediction, use this link:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
and for rank p