Hello, 

It doesn't matter from where you are if HS quota is not the case.

Only thing which matters is your JEE main rank which will decide whether you are eligible or not.

So if you have good rank then you can go for CSE in good colleges , if you are having average rank then you can opt for core branches. 

NIT Srinagar CSE I will not suggest you to go there , there will be many nit where you will get good branch .

All the best.

Thank you.