Hi, Sourav 

congratulations on your rank

since the cutoff for sc category is 54.0128155(percentile).

there is a chance that you can seat in Nits under sc category.

For admission in NITs (only) there is no need to give jee advanced.

but if you want to qualify for a seat in IITs you need to give JEE advanced.

please use the given link to check the colleges that you can get:

https://engineering.careers360.com/jee-main-college-predictor

thank you