NIT

As per your score there are chances in 60-40 ratio.

Yes, it is possible to get into an NIT with that score. You have to wait for the final round. The branch specification would not be sure but a decent NIT is not a hard deal at this score.
All the best.

Hi
If you do well in JEE, then definitely you will GET admission. Kindly use the JEE Mains college predictor app to get more insights about the shortlisted colleges for your JEE Mains score:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
Do tell us which branch you will prefer. Well wishes.
Upvote the answer if you like.

If you are from general category, then no, you won't get any NITs.

Hello, hope you are doing well.
No, you will not get a seat in NIT because you have very less marks and rank in JEE Mains. You were supposed to do well in JEE Mains to get an NIT. Go for some private colleges through counselling and get the best one. You can also try for government colleges if you are from SC or ST category.
All the best.

You can put your details in this predictor, this will help you predict the colleges you may get-
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

Yes, you can apply for M.Sc in geology in NITs.

Yes, you can get into NIT - Raipur, Nagpur, Surat, Bhopal, Silchar, Jamshedpur, Durgapur, and Kurukshetra with mostly biotech, civil and chemical branches.
Though you can also opt for non-technical branches such as mining and metallurgy.
Best of luck.

It will be declared after JEE Advanced results or the starting process of JoSAA.

For NIT, NATA is not required. But JEE Mains and Advanced are required.