Engineering Entrance Exam

You will definitely get the colleges which is under WBJEE entrance examination. You will get only single branches in Heritage i.e. BioTechnology. If you want to choose other colleges, then clcik on this link:-
https://wbjeeb.nic.in/wbjeebcouns/orcr/PrevYearORCR.aspx

You can not take admission in heritage in IT Branches. According to previous year analysis, You will not get admission in IT because closing rank for IT branches is 78947 after declaring the 3rd round. For more details of other branches click on this link:-
https://wbjeeb.nic.in/wbjeebcouns/orcr/PrevYearORCR.aspx

You cannot take Heritage with this rank. If you want to take admission in colleges which are under WBJEE, then click on this link:
https://wbjeeb.nic.in/wbjeebcouns/orcr/PrevYearORCR.aspx

At this score, it is very difficult to get this college. Try for colleges like Modern, MIT and D Y Patil which are also good in that area.

Hello,
Hope you are doing well. You have secured very good marks and rank in JEE Mains. There are a lot of IIIT and government colleges which offer great education services.
For your reference, I am attaching a link so that you can find the best college you will get based on your marks and rank-
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=connect&utm_medium=CR_JEECP&utm_campaign=7489993

As per the current rules the exam is important to get admission. But the admission department might also accept JEE Mains marks as well. Do confirm from:
adypu.edu.in

No. MANIT is one of the famous and prestigious institutes. You won't get it just by clearing the cutoff.

Yes, you can get robotics engineering through GATE.

Yes you can attend counselling but you have to clear the compartment before your admission.