B.Tech

You cannot assume the cut off because it may change according to the scores.

Beside IITs and NITs, below mentioned are the other good options for B.Tech in CSE:
1. BITS – Pilani.
2. IIITs.
3. BIT – Misra.
4. VIT.
5. Manipal University.
6. SRM University.

These following courses are somehow related to your qualifications. In case, you wish to change your line, these are the related fields.
1. Law: If you are good at communication, you can do law and move on to construction laws later.
2. MCA: Certain colleges require any graduation degree for eligibili

Government college is always better than a private college, but if you already have taken admission in private college, then you can pursue it from that college. At the end, you should have knowledge. It doesn't matter from where you study.

You have to appear for examination like JEE Mains and advance or state entrance exam. Once you get a rank, then you can select a college from where you want to pursue engineering.

You can look for colleges which offers admission for B.Tech in biotech.

Agriculture engineering is best. You have chances for government jobs in the same field, but for other branch like biotech and microbiology, they have less chances of government job as compare to agriculture.

If you really want to push the boundaries of CS, so you can go for MS by research. But, if you want a technical job, then you should go for M.Tech or ME CSE. If you have a natural aptitude of mathematics and computer science, you can go for research side.