Exam

There is a link below that will help you find a college that you might get into with your score/rank:
https://www.resonance.ac.in/reso/news/jee-advanced-branch-allotment.aspx

Yes, you can try for NIT's. Your category quota might fetch you a seat in one of the NIT's. NIT Hamirpur most probably because previous year's closing rank was highest for NIT Hamirpur.

This year JEE main cutoff for sc category was 32 while cutoff for advanced is
GENERAL CATEGORY-128
OBC -115
SC/ST-64.
You should have good marks to get admission in IITs.
I hope it helps.

You can't get any IIT, because your score is too low. Otherwise, use career 360 app to predict your colleges and you can get other colleges through your JEE Main score.

Sorry, you have no chance of getting any NITS and IITS. You can try for Punjab University, Patiala.

This score is not sufficient enough to get you a seat in one of the NIT's or any government college. So, you'll probably have to go for private colleges.

Yes. To get into a college through UPTU you will have to score well in UPSEE. I hope you have attempted the exam this year, and you can apply for counselling then to get a seat in a college under UPTU.

https://www.shiksha.com/b-tech/resources/jee-main-rank-predictor
This is the right way to know your state rank. Besides, it will let you know where you can get admission.
All the best.

Following are the good B schools where you may think about with 724 MAT composite score:
TA Pai Institute of Management, Manipal approx 700
Institute of Public Enterprise Hyderabad, 650
Balaji Institute of Modern Management Pune
ITM Khargar Navi Mumbai
Xavier's Institute of Management and Entrepreneur