Maharashtra

Domicile quota is usually in government colleges private colleges don't really have a problem taking people from outside Mumbai.

You can definitely try for the admission for MMS in LLIM. But as you had already got admission for PGDM and I guess that the lectures have already been started. So, my suggestion is to don't waste your time and continue with your PGDM course.

Hi Manish, You can use the MHCET 2018 College Predictor option available on Shiksha. Com. College Predictor helps students to get an idea about the chances of admission in the college of their choice based on MHCET 2018 result. Please refer the link below for your reference:
https://www.shiksha.com/b-tech/resources/mhcet-college-predictor.

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.