Maharashtra

Best colleges for ME in Maharashtra are-
College of Engineering Pune
Shri Ramdeobaba College of Engineering and Management
Walchand College of Engineering

Check out the link below and filter Maharashtra region for results:
https://www.shiksha.com/science/colleges/m-sc-food-nutrition-colleges-india

Amity University takes direct admission. So, you don't need to worry about it. You can go direct and take admission in Amity.

You can opt for distance PG courses. You can do M.A. M.Com. Or M.A. etc. From IGNOU, Amity Distance or SMU Distance Education programmes. Search for an IGNOU centre near your residence. Check the courses available and choose the desired one. IGNOU provides weekend classes also. You can study at home and give exams.

You will get it cleared by fourth or after the payment due or the session starts as people withdraw within 1 or 2 months of session starting.

Hello Karthik, Aah! You are in a typical Shakespearean dilemma! Calicut as well as Nagpur, both NIT' s have quite good reputation. Therefore I would like to advise you that you can take admission in the NIT which is convenient to access and commute from your home.

Your score is very good in MHF CET and also you have scored very well in HSC. So, with this score, you will get a good college in Pune, do not to worry about that.
All the best.

Placements of EEE at NIT Nagpur are very good. In fact, if you are very good at coding, you can sit for placements along with CSE people for the companies that come to hire them. However, the curriculum is very strenuous and for a good pointer, you'll have to study really hard. But all that will be worth in the long run.
All the best!

MBA CAP round process has already started. Now, you can register and complete your document verification at FC till 28th June.

There may be private colleges that can offer you this service but no other colleges, like government-aided colleges, can provide you this service.