BSEB

You have not write about the category and sub category you belongs. However if you belongs to general category and VJ subcategory and domicile of Maharashtra than you can get the B.E. Computer Engineering in asked college.

https://www.shiksha.com/college/fiem-future-institute-of-engineering-and-management-sonarpur-kolkata-24088
Refer this link.

You will have to check the prospectus of the course provided by the college to know more about eligibility criteria. But JNU is not a good university.

Yes you can take. The eligibility criteria is given below.
1. Applicants must have passed their Intermediate standard from the recognized board with the minimum score up of 50% in Physics, Chemistry, mathematics and English.
2. Candidates appearing in qualifying exam are also eligible to apply for AMUEEE 2020.
3. Candidate who have cleared diploma in engineering programs from AMU with the minimum of 50% are also eligible to apply for this entrance.

You can apply for DU but there are very less chances to get a good college.

You can check it by clicking here :------
https://www.shiksha.com/college-predictor