BITS Pilani - Birla Institute of Technology and Science

I'll prefer you to opt for the IIT, Hyderabad or DTU as these are the best college from all the colleges that you have mentioned above in terms of placements, infra and faculty. You should opt for the CSE in whichever college you are getting that.

Unfortunately, you are not going to get a call from BITS Pilani, as you are ineligible from one of the criteria. Your Engineering aggregate percentage is below 60.
The eligibility for BITS Pilani MBA is as below: -
BE/B.Tech in Engineering or a Master's Degree in any discipline from any recognized university or any integrated first degree of BITS. Candidates should have obtained minimum of 60% aggregate marks in qualifying degree.

Yes, at the time of getting admission in the college, you have to fill various college forms in addition to the submitting of the application form in the college.

Obviously, NITs are at first priority, but not all NITs are good. NIT Trichy, Warangel, Rourkela are the best then BIT Mesra, University of Pune are in the list. Good luck.

No, BITS, Pilani doesn't offer M.Tech in automobile engineering. For more details on courses offered by them, just visit: https://www.shiksha.com/university/bits-pilani-birla-institute-of-technology-and-science-467.