Hello Buddy! Hope you're doing good.

Yes, you can do the integrated MSc in physics at nit surat after passing 12th and JEE Mains. Well with your rank and category, it quite difficult to get a seat but it totally depends on the seat matrix and there's some seat reserved for your category. So try maybe you will smoothly get a seat as the closing rank is 16325 in NIT SURATHKAL to get a seat in any of the branches. For knowing your possibilities, you can see the previous year cutoff rank through the link given below :-

https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-surathkal

Hope this will help you.

ALL THE BEST! WORK HARD !!