Computer Science and Engineering

No, you have to give WBJEE exam for that.

Chances are less because CSE is the most preferred branch in NIT, Trichy.

Hello, I hope you are doing well. You can check the list of colleges including C. V. Raman college, NITs and IIITs that you can get according to your marks and rank. Use Shiksha JEE college predictor:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=connect&utm_medium=C

In terms of employability, both the colleges provide good placement in Computer Science branch. You can give you first preference to Hindustan institute of Technology.

Yes, you can get government college, but there are only 70% chances on the basis of your GL rank.

I am listing some top colleges do check the list below:
JSS Academy of Technical Education
Institute Of engineering & Rural Technology
Ajay Kumar Garg engineering College
Government Engineering College Kannauj
Galgotia's College of engineering & Technology.

No, you can change your branch. You can only apply for relevant branch.

Hi,
Both NIT Agartala and NIT Rourkela are good. In case of CSE in NIT Agartala, Placements: Placement is not very much impressive. Because of its remote location few companies are willing to visit for campus placements. Placement for CSE branch is comparatively good. 90% of the job offers come from

Easily.
According to the second list, you are eligible for any branch in Thapar University.
Cut off list is quite low this time.
Hurry up. Go and deposit your fees.
But, I will suggest you to try for JEE Mains counselling also.
You can get good NIT.
Best wishes.

Yes, you can.
According to second counselling list of Thapar University, minimum 117 is minimum JEE Mains marks for CSE (outside Punjab).
For COE, it is a bit high. But, you will get this branch in-person counselling.
Try, you can get it.
Best wishes.