Kolkata

Please check the link for complete detail about the college you can get by this rank please must enter your category and Branch specified for better results
https://www.shiksha.com/b-tech/resources/wbjee-college-predictor

Although it cant be predicted with a certainity, but if you are a boy, you can expect to get through if you have above 93.5%. Girls might need little more than 94.5%. This is because morning batch which is boys only has a little lower cut off due to more seats. Girls can get into evening batch which is co-ed.
Its a great college for B. Com Honours, if you are considering it as an option.

Hello Sayan,
The following links are the placement season details of each IMU Mumbai and Kolkata-
https://www.quora.com/What-is-the-placement-record-of-IMU-in-Mumbai-for-marine-engineering
https://www.quora.com/How-good-is-IMU-Kolkata-for-marine-engineering-What-are-placements-like
Hope this helps. All the best.

Yes, you have to appear in the entrance examination to get admission in fashion designing.
But there are some colleges which give the facility of admission directly. According to me, it will be better when you go after qualifying entrance test.
Entrance exam for designing course:
https://www.shiksha.com/design/fashion-design/articles/top-design-entrance-exams-2017-conducted-in-india-blogId-11334

https://www.shiksha.com/bba/course/bachelor-of-business-administration-university-of-engineering-and-management-kolkata-rajarhat-236632
Please click on the above link to get all details about the college. See whether it is the best college for you after going through all the data of the college.

With rank 14896, you will not get any good branch in Heritage. All I can say is that you'll make the cut for any branch except CSE in NSEC, Meghnad Shah Institute of Technology, also a few branches at TISL, any in TIU and TICT.