WBJEE

You can see your score on official WBJEE website.

Yes, that will be considered only if you have proper valid documents.

Yes, only Neotia University can give you CS with this rank.

Yes, you can get admission under TFW quota. I am listing some colleges, do check the list below:
Budge Institute of Technology
Murshidabad College of Engineering & Technology
Gargi Memorial Institute of Technology
MCKV Institute of Engineering
Bengal College of Engineering
Haldia Institute of Technology
Saroj Mohan Institute of Technology.

Yes, you can get government colleges. I am listing top colleges do check:
Jadavpur University of Calcutta
Kalyani Government Engineering College
Heritage Institute of Technology
Government. College of Engineering & Textile Technology
Jalpaiguri Government Engineering College
University Institute of Technology.

No, you can't get admission if you are out of West Bengal with WBJEE. For the candidate who are outside West Bengal, you have to crack JEE Main and Advanced too.

No, you can't. You have to get caste certificate for admission.

Yes, with this rank, you can get MSIT, and also you can get all branch like electronic, electrical, civil, CS ,IT.

Yes, if you are not satisfied, then you should opt for 2nd round counseling.

Yes, on the basis of your SC rank, you can get government college.