Computer Science and Engineering

https://www.shiksha.com/b-tech/resources/wbjee-college-predictor
Here is the college predictor link. You can go through the link to get an idea about the college you will get. Good luck.

NITs are colleges with some cut-off criteria for admission. The college does not reveal it and every year it is changing.
But for reference, you can refer to the official website of NIT Warangal. They have provided complete details of opening and closing ranks of the previous year.

You are getting CSE in IIIT, Hyderabad. It's the best institute (though private). Its CSE is comparable to CSE of IIT Bombay. The maximum number of GSOCs are from IIIT, Hyderabad. Its curriculum is best-structured. You can decide why Apple, such a great company, only chose to visit IIIT Hyderabad an

First of all, congrats for your success. It completely depends on institute and university you have selected. Just go for counselling once your college is rectified and at the time of admission you came to know about scholarships. So, all the best.

Very difficult, but there may be a chance due to domicile benefits. Your rank is 140k, which is not much attractive for a good college. You can get an average college at this score.

I will suggest you to continue with computer science and engineering and information technology in NITs like Bhopal as they will have a better future perspective and will have excellent placements too.

You cannot get any NIT as your rank is less. You should go through the link, Here you can find the best college for you according to score and rank. May you get any NIT or best private college :-
https://www.shiksha.com/b-tech/resources/jee-main-college-predictor
Go through the above given link. Thank