JEE

If you have got that category rank then sorry you won't get any NIT for core branch though you have chances to get some decent government college in last few rounds.

You can consider following colleges:
DIT University
Alliance College of Engineering and Design, AllianceSchool of Technology, Pandit Deendayal Petroleum UniversityJECRC University

You will not be able to get any Government Colleges and there is very less chances of getting Government college in your state also. But you can get Private Colleges with these Marks.

No bro, it's in Lacs.

RGIPT, IISER's IIPT are one the best colleges you can get through JEE Advanced othet than IITs.
All the best.

For JOSAA, you have to apply through JEE Mains and for WBJEE counselling, you have to apply through WBJEE.

You're chances are slim. Though you should apply to some other college as you're from st category you have chance to get some government college. All the best.

If the score you mentioned i.e. 119 is of JEE Mains paper 2, then you cannot get NIT anywhere. Although with such a good percentage in boards you are eligible for getting admission in other B.Arch colleges in your area. Check last year's cut-off and assure your seat for college. Good luck :).

For sure. If there is any possibility of not getting CSE opt for IT. Both the courses share almost same curriculum and same placement record.

Check out the college predictor link below for details : https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor.