Hello,

Here the tags you have given for PU are different but in which PU you got 65% you haven't specified.

For JEE main yes you can take an admission in Government college in your domicile. you may get state quota or any other reservation to get an admission there. Along with that you should apply for Private colleges also. It's better to be secured. IF you get an private college through counselling then your fee structure will be low and you can apply for Tution fee wavier with your qualifications also.

to Get an IIT:- you have to qualify JEE Advance with a top score and for NIT you have to get a rank below 3k.

and +2 marks also matters and it should be above 90%.

So, look for any government or private college.

To get the list of collegesas per your rank and category, use the college predictor:- https://engineering.careers360.com/jee-main-college-predictor

Hope it helps!