Visva-Bharati

Yes, surely you can apply for M.Sc in the desired subject in the University. Since your university is UGC approved, so it does not matter whether it is government or private .

M.A. in Journalism and Mass Communication
PG Degree|Full Time|Duration - 2 years
NAAC 'B' Grade Accredited
Eligibility
Graduation
Admission Process
Register and Apply
Interested candidates can apply online with required information
Written Test
Eligible candidates need to appear for Written Test conducted by the Visva-Bharati University.
Personal Interview
Shortlisted candidates will be called for Viva-Voce Test based on the marks obtained in Written Test
View complete process
Seats Break-up
Total Seats
46
Category
General23
International Students15
OBC12
SC7
ST4
Fee Details : Please visit the official website of university for exact fee structure.

Yes, you can apply for B.Sc in agriculture because it requires only 12th and does not depend on the stream in class 12th.
All the best.

It depends on the state where you are giving the entrance. I guess, you cannot write in bengali of M.A in journalism and mass communication.