Hey,

As per the previous year cutoff there is no chance to get a seat in any IIITs or NITs. Your category rank is too much. Also you are not getting any seat in your state Nit.

However you can try for the state level counseling like Punjab, Andhra Pradesh, Karnataka etc.

To know your admission chances in JOSAA counseling & State counseling, You can use JEE Main college Predictor tool i.e given below.

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

Hope it will helpful.

Thank you!