Engineering

You might get the NIT but on talking about branch, I am not sure that you will get this branch or not. https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Use this link in order to predict the college on the basis of your rank.

There is no criteria for lateral into BCA course! You have to do 3 year Programme! You can do it through Distance or Part time according to your need!
Good luck!

Name of the Institutes
Opening Rank
Closing Rank
1
National Institute of Technology, Warangal
5
29270
2
National Institute of Technology, Tiruchirappalli
18
26489
3
National Institute of Technology, Surathkal
4
32588
4
National Institute of Technology, Calicut
11
29053
5
Motilal Nehru National Institute of Technology,

There are various options for you if you want to pursue a career in research like IIST IIS, and NIS. But to get into that you'll have to appear in their respective exams (except for IIST which needs KVPY, JEE-main or advance). But as per your marks, you are not going to get any college so better pre

National Institute of Technology, Warangal
Opening rank 5
Closing rank 29270
National Institute of Technology, Tiruchirappalli
Opening rank 18
Closing rank 26489
National Institute of Technology, Surathkal
Opening rank 4
Closing rank 32588
National Institute of Technology, Calicut
Openingrank
Closing rank 290

With your rank and category, there is a very rare chance of you getting admission in any NITs but you can try for some GFTIs if you want to take admission anyway.
Best of Luck!