I know a few people from both New Horizon College and DSATM. So I will try to give you an idea about them based on what I heard from my friends at the institutes. 

New Horizon College of Engineering:

One of my friends was part of the ECE branch at New Horizon. She had a great time at the institute. The faculty, lab attendants are quite supportive. They have working faculties even on Sunday. So, if you missed any classes during the week you can catch up on that. You will have ample freedom at the lab. The labs are well-equipped with the latest instruments and computers.

Dayananda Sagar Academy of Technology and Management:

Comparably DSATM doesn’t offer such facilities. A friend of mine had to do her final projects using external resources, as the computers provided by the institute didn’t have the minimum requirements. Her project guides and her professors were not that supportive either. But in terms of placements, DSR does offer better facilities. 

Here’s a brief comparison of both of these institutes.

Hope this gives you an idea about the institutes.

According to the 2021 WBJEE cutoff, the required cutoff for CSE at Heritage Institute of Technology is 3434 (general). So, it will be difficult to get admission in CSE with your rank. As an alternative, you can go for IT at Heritage. It offers similar career prospects as the CSE branch. 

With 4.5k rank, you can also try for KGEC EE/JGEC CSE/GCECT CSE/GCELT CSE/IEM IT/ GCETTS CSE.

At this rank in case, if you are getting a Govt. college don’t go for it as there is a very low chance of placements.