NIT

National Institute Of Technology is one of the best engineering college in India. If you want to be an engineer, and want to do something in this field, NIT would be a better opportunity for you. It has an international focus on development of their student's personality and ability. If you talk about future, it is in your hand totally. NIT will give you atmosphere, resources and knowledge rest is in your hand.

JEE paper 1 marks are responsible for NITs and CFTIs. Your 2 paper marks are responsible for IITs only.

There are several number of NIT colleges near Kolkata. Some of them are:
Narula institute of technology
Indian Institute of engineering Science and Technology
Government College Of Engineering and Leather Technology
Calcutta institute of Engineering and Technology

Sorry, but this score is not enough for getting into NIT. But you can get into some good private campus.NIT, Suratkal is very famous and students with a good rank below 3000 will get admitted each and every year.

https://www.jeeadv.ac.in/FAQ.html
You should open this to get all your answers.

First of all congrats. You have very good marks. You can apply to any and every NIT but it also depends upon you board marks.

Hi,
You have scored very well in both the exams. But you can't get IITs. You have chances to get admission in NITs.

All NITs accept CAT score. Some NITs also accept MAT score and very few NITs accept CMAT score. Since NIT, Rourkela has not mentioned any particular exam therefore it must accept CMAT also.

Hello,
You can think of getting admission in a NIT if you have scored minimum cutoff marks for the catagory. I think you have. I am attaching a link that will predict a college for you:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

Go for the link below to know about the seat allocation in IITs:
https://www.shiksha.com/b-tech/articles/jee-main-2014-understanding-quotas-reservations-and-categories-blogId-7760