Engineering

You may check the link below.
https://www.shiksha.com/university/pes-university-bangalore-pesu-20875/courses/me-mtech-bc

You have to go to college for verification of documents. Carry original documents and other important things.

The fee is depend on the institute every institute have there own fee criteria the fee for this course is start from 35,000 and reach to 3,00,000.

You can consider Aditya College of Engineering and Sri Vasavi Institute of Engineering and Technology.

Yes, you can do this. You are eligible to select this subject.

If you have done polytechnic then you can get admission in direct second year otherwise, you have to start from the first year itself.

I cannot say best but it's a good college. They will provide good facilities and campus too.

Here are some government colleges in Madhya Pradesh:
1- Government Engineering College (Rewa)
2-Ujjain Engineering College
3- Jabalpur Engineering College
4- Government. Madhav Science College
5-Government Arts and Commerce Naveen College
6- Home Science College
7-Indira Gandhi Engineering College
8- Dr. Bhagwat Sahay Government College

Yes, it's a good option to take mechanical engineering at PES University. Infrastructure and placement is okay. Teaching is good. Labs are well-equipped.