Electronics

First of all, just clear your backlog with good score and for that practice more n more. After clearing all your subject find a good and reputed college for your further study.

Talking about the branch EIE.
The faculties have a great experience in teaching, friendly, always ready to help.
We have proper labs for research and other projects.
The placements are also increasing and almost it went to 75% until now.

Use college predictor link to know about the college you can get: https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Good luck.

Yes you can eligible for ES in etc.

You cannot get admission in this college, if you have not appeared in the entrance exam. This is a government college, so there is no management quota also. So, it is not possible for you get a seat in this college. I will suggest you to go for private colleges like Amity University, Shardha University, Lovely Professional University, Galgotia University, LNCT Bhopal, Techno India-Kolkata etc., and get admission directly through management quota in your favorite branch.
Best of luck.

Hi Keshab,
If you are interested in core companies and IT companies as well, then you should go for electronics and communication engineering at heritage. If you are interested in only IT companies, then go for techno India, information technology. Although, you should prefer ECE as per career prospective. Best of luck.

Please use college comparison tool:
https://www.shiksha.com/resources/college-comparison-236945

According to me, you should try for next round. Probably, you will get good college than this.

No, for admission you have to qualify entrance exam with good marks. They give admission only based on entrance exam. Good luck.