LLB

It is difficult but not impossible.

Please refer to the following link:
https://www.quora.com/Whats-the-difference-between-B-B-A-LLB-and-B-A-LLB-Which-one-is-better
Good luck.

In the end, it's up to you what you wanna do after LLB. There will be many options but from which college you have done law will play an important role as college provide placements these days.
1) Law firm (Associate)
2) MNC (Legal officer)
3) Govt. Agency
4) Judicial Exams
5) Bank, Legal Dept.
6) Litigation
7) LPO
So, it's up to you where you wanna go. Litigation will the best option if you wanna learn basics but as money matters as well go for a law firm. After 2-3 years, you can join any MNC as well.

The chances are quite low as the seats fill pretty fast, you can wait for the 2nd counselling.

KIIT Law School is one of the most reputed schools for B.Sc in law.

I will recommend you to go according to your extreme interest. Don't be confused. Choose a career very carefully and wisely. Don't be confused by a lot of recommendations. Follow your heart and interest. You will never fail.
Best of luck.

You can get it from AC Joshi library reading section ground floor.