Engineering

Hi,
It's difficult to get a good college with this rank as most of the colleges prefer a rank below 10,000. You may get a college but I am not sure about the desired branch. You can try for some colleges like IEM and UEM, Bengal College of Engineering, etc.
All the best.

You won't get the best college but may get a decent college with non-core branches. I would suggest you work hard for your 4 years to get success in your life. Visit Shiksha's college predictor to get better exposure on colleges and branches.
All the best.

I think you will easily get Jalpaiguri Government Engineering College. I got admission for ECE in JGEC with a GMR of 3366 in the year 2017. (I didn't participate in the decentralised counselling).
In fact, you may get IT in Kalyani Government Engineering. College (last year it closed at around 4K). I

https://www.shiksha.com/b-tech/resources/ts-eamcet-college-predictor
Kindly visit the above-mentioned link.

No, you can't, Please reappear for compartment exams as you won't be eligible for B.Tech course without passing maths subject.

After diploma, you can go with degree level courses or PG diploma programs. B.Tech degree can be obtained with specialization in Automobile Engineering or Automobile design Engineering. Admission to the course can be done through lateral entry and thereby you can save one year. Post Graduate Diploma