Colleges in West Bengal

Hello Rupam,
Yes, if you got good marks in WBJEE then you will surely get good government colleges, domicile is not compulsory for admissions if you got a good rank.
All the best.

Basic Eligibility to pursue B.A (Hons.) in Media Studies from Institute of Mass Communication Film and Television Studies is that Candidate must have passed 10+2 from a recognized board. Interested candidates can apply directly to the college.
There are a number of companies which visit this institute to conduct placement drives. Some of these firms are mentioned below:
Placements (as provided by college)
Companies / Recruiters who visited the campus
HDFC Bank State Bank of India Toshiba

Sorry, but it will be quite difficult for you to get into IIM-A and B. As C doesn't have a graduation criteria (i.e. zero weightage to graduation score) it would be your best shot. Additionally, I would not suggest you to go to any of the IIMs as then you would be competing for jobs with the best profiles of the country, and this might dilute your profile and competition. But, it is your choice at the end.

Your chances seem quite decent. I would suggest you use Shiksha's Call Predictor to get a better idea of what different CAT percentiles would do for your chances to get a call. By the way, NITIE and IIM A, B and C are quite different. NITIE has a much stronger focus on operations while IIMs don't focus at all on operations (even the roles in operations are quite limited).

Here is some information about this institute:
https://www.shiksha.com/mba/course/master-of-business-administration-vivekananda-institute-of-management-studies-Coimbatore-213058