B.Tech

Yes, indeed, you are eligible, but try to score above 99 percentile in CAT for old IIMs and 97 percentile for new IIMs.

Yes. it is good for placement.

Try MBA from National Institute of Fashion Technology, it would give you more scope.

B.Tech in automobile engineering graduates are eligible to appear for all UPSC examination as the eligibility criteria is a graduation degree.

You may refer to following link for details of all engineering entrance examinations in Indian engineering colleges: https://www.shiksha.com/engineering/exam

You can join DRDO/ Indian Air Force/ HAL etc. after B.Tech in aeronautical engineering. These organizations have a provision of higher studies for their engineers while on job.

You may able to get admission in few private engineering colleges based on XII marks under management quota. But I will like to warn and discourage you from seeking admission in this way as you can get cheated and also might have to pay a very high amount of money to do engineering in such a way.

You may please refer to page no. 74 to 98 of the following link for list of colleges which accept LEET score for admission: http://www.hstes.org.in/pdf/2016_pdf/Prospectus/B.Tech-LEET Brochure 2016-17 final without highlight.pdf

For education loan, firstly you need take admission in a recognized college and also you can check with the banks which have tie ups with the college for the loan as it will ease some problem in the approval of the loan. The requirement for loan is:
1. You will have to show the letter from your coll