Colleges in West Bengal

Hello,
IBS-Kolkata isn't a great option, as neither it is a reputed brand name (IBS, Hyderabad being the only decent one) nor it ranks under the top 50 colleges across India. Better to avoid it and look for other much better options. https://www.shiksha.com/mba/ranking/top-mba-colleges-in-kolkata/2-2

There are no restrictions. If you have a good caliber, you will land up with a good job. MDIM is better than the newer IIM's as far as placements (ROI) and campus life are concerned.

You can apply online/offline with the required information. Admission is based on the marks obtained in graduation.

Basic eligibility to secure admission in Ramakrishna Mission Residential College for B.Sc is mentioned below:
The candidate should have passed 10+2 with a relevant stream. Mandatory subjects: Physics, Chemistry and Biology as a compulsory subject from a recognized board of education to take admission

Please use the link provided below for a detailed structure of B.Sc biotechnology course from Adamas University. You should be able to get a fair idea of what you will be studying during the duration of this course, and all the relevant industry training (if any) which you shall receive.
Regards.
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It has much demand for every branch, you can find out other details through this link:
http://www.rknec.edu/Academics/Departments/MechanicalEngineering.aspx

No, you cannot appear for the entrance this year because the academic session starts by July end. So by that time you need to be graduate and provide your graduation certificate to the college.

Well you cannot get admission in NIFT without appearing for it's entrance exam. So you can drop a year and appear for it next year i.e. 2019.