Institute of Engineering and Management

You can try for BCA. Just visit IEM website https://www.shiksha.com/college/institute-of-engineering-and-management-salt-lake-city-kolkata-23742.

You will not get Heritage and IEM colleges for CSE branches. You have chances for TECHNO INDIA because the closing rank of Techno India was 8130 according to the previous year analysis. So, You have more chances for this year. For more details click on this link:-
https://wbjeeb.nic.in/wbjeebcouns/orcr/PrevYearORCR.aspx

Hello, I want to first introduce about the environment of both the colleges. Both the colleges have same placement scenario in CSE Branch. But In IEM, You have to wear school uniform. If you enter the campus then u will not go back to your home until your college timings are over.

Hi, if you have the merit rank then definitely you will get whichever college you want.
What I will suggest you is to be careful at the time of choice filling. Please put the name of the college on the top in which wish to take admission.
Do upvote my answer.

Yes you can get CSE and other branches as well. Your Rank is good. Use the JEE Mains College Predictior for Predicting Colleges you can get based on your rank:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Also research about Colleges you are interested to take Admission in. See there last year Cutoffs. See according to your rank can you get that College. Best is to use College Predictior. Good Luck.!

Please go to the college predictor link I am sharing here to know about this. You can predict your college here according to your link.
https://www.shiksha.com/b-tech/resources/wbjee-college-predictor.
Good luck.