Hi Debashish,

I doubt you may not get CSE with this rank even after home state quota because according to 2017 stats the SC HOME STATE QUOTA closing rank for CSE was 6511.

But maybe there are chances because you are a bit close so do attend the JOSAA counseling. I am attaching the link for NIT SILCHAR cut-offs do go through it.

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

Hope this helps you.

Thanks!!