WBJEE

At this rank, you should opt for BC Roy Engineeing College Durgapur or you may also try Techno India University Kolkata. Choose one of from these two colleges but placement is only for CS/IT branch.

With this rank, admission in WB is difficult.
But, your TWF rank is 12610
So, you can expect:
Haldia Institute of Technology
Heritage Institute of Technology
University Institute of Technology, Burdwan

Find a link below that will help you to find a college that you might get into with your rank:
https://www.shiksha.com/b-tech/resources/wbjee-college-predictor

Find a link below that will help you find colleges that you can get into with your rank:
https://www.shiksha.com/b-tech/resources/wbjee-college-predictor
Hope this helps.

Yes, you can get good college as your rank is very good then you can easily get Haldia, Techno India College
but you can check the list of college by the link provided:
https://www.shiksha.com/b-tech/resources/wbjee-college-predictor

It is quite tough to get college as your rank is to high but for college you can get please check the link and here you can enter your rank category and branch specified:
https://www.shiksha.com/b-tech/resources/wbjee-college-predictor

Find a link below that will help you to find a college that you might get into with your WBJEE rank:
https://www.shiksha.com/b-tech/resources/wbjee-college-predictor
Hope this helps.

You can opt for BC Roy Engineering College Durgapur as your rank is not good enough. But at this rank BC Roy will be best for you. Please note that placement in not very good there.

Now, if you are a general category student, you need to get a rank of about 3000 to get a branch at JU and for better branches you need to be in the top 1500. And to get 15002000 rank you should score at least 45% or above marks in WBJEE.
And as this year IIEST, Shibpur is no longer taking admissions through WBJEE, hence you need to be in top 1500. Beyond 2000 may not guarantee you a seat, I guess.

You are eligible for colleges like:
Kalyani Government College
Jalpaiguri Government Engineering
University Institute of Technology, Burdwan