IIIT

What's your rank in JEE exam? According to your rank, we will help you better. With 128 marks, there are more chances to find a good NIT.

It depends on your score, if you get above 100 score in JEE Mains and percentile below 75, you will get admission in NITs, but you can't attend JEE advance, because it needs above 75% in class 12th. Or your category basis.

Kindly check the below link. You will get to know which college you have chances based on your rank:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=cconnect&utm_medium=CR_JEECP&utm_campaign=4479470.

You might get the NIT but not IIIT since you qualified the exam with a little margin that is 21 marks only. You scored 95 marks which makes you eligibile for JEE Advanced exam. You can use this link in order to predict the college you can get:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

Your rank must be 55000 and not score, with this rank, it's quite difficult to get into an NIT, still, you can check through the college predictor link below:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

Yes, you can by clicking this link mentioned below:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

Hi,
For admissions to NIT and IIT, applicants must have secured at least 75% marks in class 12th exam or be in the top 20 percentile in class 12th exam conducted by the respective boards. For SC or ST category students, the eligibility criteria is 65% marks in class 12th.

On the basis of your JEE rank, you will not get any of the NIT. So, try for other colleges.