My gen. PWD rank is 361, can I get CS in any NIT?

You may get NIT. Yes, you can try for CSE in NIT.

Yes, you are eligible for getting NITs. Your rank is quite good. Try JEE college predictor to get more information and insight about college & branch which you can get on the basis of your rank: https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=connect&utm_medium=CR_JE