Hello

Congratulations ,of getting good rank in JEE Mains,yes you are eligible for some NIT's like  you are eligible and in NIT calicut(HOME STATE) ECE and Mechanical branches  also eligible,

You can check your best college through the Rank predict tool of JEE Mains Given below Check how many colleges are under your rank .

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

As your form other state it is very difficult to get seat in top but there is once chance go through the JOSAA counseling under that there are 111 institutes .

This counseling contains  round 1st round start from 15 to 17 oct.

Here i am providing cut off nit go through it

https://engineering.careers360.com/articles/jee-main-cutoff-for-top-nits

Choose best college for your career

All the best