B.Tech

Coimbatore Agriculture University is a good option.

Don't worry about that, you will surely get a good college. First of all you will need to clear all your papers and should not have any active backs. After that you can apply for lateral entry admission process and face the entrance exam, PI etc. to get into another college.

We are provided some name of colleges which provide your required courses in distance NIMBS, IGNOU, SSK College, these are good in distance learning and also approved.

No Chamraj,
It's only for the students upto class 12th.

Yes, you can but I would like to know why do you want to opt for IT after automobile as these two very different domains and automobile learning won't be of any use for future. Also, you will need to start afresh for IT.

To get a job abroad which is very competitive upgrade your skills. Plan for a Masters degree abroad, countries like Australia, Canada, New Zealand, Germany, etc. offers graduate post study work options which will come handy. You may utilise this period to look for a job, work and gain international

You are eligible for job in India with B.Tech in ME from an Australian University.

Petroleum Engineering is a niche field of engineering with large scope in PSUs. If you are interested in Petroleum engineering, then its a good career option and M.Tech PE will pay you well in long run.

Go through the below mentioned link :
https://www.toppr.com/bytes/top-private-engineering-colleges/

Refer link below for the colleges:
https://engineering.shiksha.com/distance-learning-engineering-in-india-categorypage-2-58-1-0-0-1-1-2-none-1-0