hello aspirant,

With the above mentioned rank in OBC category and based on the previous year JEE mains cutoff, you have very little chances of getting NIT Hamirpur or any other good NIT's, even having the Home state quota,  because for OBC student, the minimum rank required to get admission in good NIT's will be around 16K-17K according to the previous year JEE mains cutoff.

But you can surely get some other Private engineering Colleges, so you can go for that,

To know more about the JEE mains Cutoff, you can follow the below mentioned link : https://engineering.careers360.com/articles/jee-main-cutoff

To know about your chances of admissions in other colleges, you can follow the below mentioned link to know more : https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp

I hope that this will help.