NIT

No, it is not possible for you to get admission in NIT-Puducherry with that rank. I suggest you to go with other private institutes accepting JEE Score.

Kindly have a look on this link for more information:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

The most common job that an M.Sc Maths post graduate gets is a lecturer at any college or a Maths teacher of high post at any school.

Yes, there are chances for you to get admission in your Home State NIT in less demanded branches.

https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
You can check on college predictor.
Good luck.

Hello,
Click on the link for more details about Durgapur:- https://nitdgp.ac.in/. Thank you.

Hello,
Admissions to NITs/ IIITs/ GFTIs: Candidates need to have secured a minimum 75% marks in class XII or equivalent exam or be in the top 20 percentile in their class XII exam conducted by the respective board. For SC/ ST candidates, the eligibility criteria are to secure 65% marks in class XII or equivalent exam. Thank you.

Check https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

IIIT colleges have good lawn tennis infrastructure, while I think in some IIMS also has this facility.

Please tell me your rank in SC category.