Bhopal

You need to have more than 50% marks in state board.

During counselling based on your rank if you get VIT, Vellore, they shall allow you to take it! In the form, they just ask for their analysis! If your rank is good you'll get Vellore. They value merit a lot!

There are lot of good colleges like IIPER, PIMR, VNS Business School, SIRT, etc. But don't waste your time in colleges like MVM and specially Bonnie Foi College. For getting admission in any college first talk to some senior students of that college.
Best of luck friend!

Yes, you can get admission after qualifying the entrance exam conducted by IPU.

You have to obtain 170+ marks as you are in General category. But there might be changes as every year cut off changes and even some of good students cannot get good colleges and desired branch because of their higher cut-offs. So, I will only tell you to try to get at least 200 marks so that you will able to get good branch in MANIT, Bhopal. Thanks.

180+ will be required for NIT Bhopal.

OIST, Bhopal is good for mechanical engineering because they give the practical knowledge along with theoretical knowledge.

BMS course is doing great in the campus. Media labs are under construction. There's a lot of investment and input on resources in this field so can be a great choice if you plan to stay in the city.