Dear Vikash,

To check your chances in IITs and NITs based on your score and category you can use below GATE college predictor

https://engineering.careers360.com/gate-college-predictor

Good luck!!

Yes you can get admission in only NITs. To Check in which college you will best fit it is good to go though predictions of this year cutoff. So let first check which NIT have what Cutoff in previous years. And this helps you to great extent in selecting your dream college
https://www.google.co.in/amp/s/engineering.careers360.com/articles/gate-cutoff-for-nits%3famp