Dear
I dont think ,you will be able to grab a seat in any NIT with this rank, you need under 2000 rank for that
Jee mains paper 2 is for architecture admission in few colleges only rest of them considers NATA score , you should refer to the following link to check the possibility of getting admission in one of them.
It contains college wise ,category wise cutoff of previous years of various colleges which will help you to predict your chances in getting admission in one of them!
https://engineering.careers360.com/articles/jee-main-cutoff-for-b-arch-b-planning?amp
GOOD LUCK