Engineering

From the analysis of previous counselling process, if you wait till the 3rd round, you might get civil in Heritage with this rank.
You will get Applied Electronics in Heritage College with this rank.
In IEM, there is no scope for any branches.

Yes, you can. But you will have to manage both and study double time. You can join a coaching and prepare there at evening.

No, you will not get Heritage, try for other colleges.

No, this rank is not suitable for taking admission in Heritage.

In Heritage, you will not get any branches with this rank.

There is no Diploma course in ME that is a year long only. The course is 3 years long if you take admission on the 10th basis and 2 years long on 12th basis. PG Diplomas can be a year long for particular subjects.

No, you will not get mechanical. I think you will not get any branches in Heritage with this rank.

You cannot get admission in Heritage, IEM,Haldia but in BC Roy chances are very low for computer science. You have to wait till 3rd round.

https://www.shiksha.com/b-tech/resources/ggsipu-college-predictor
Please go to the college predictor link that I am sharing here to know about this.
Good luck.

Let me share my experience with JNTUK here. I completed my B.Tech in Computer Science from University College of Engineering, JNTUK. On a scale of 1-10 (higher value being the best), I cannot rate my University beyond 7, irrespective of the circumstances. There are several pros and cons at/with JNTU