NIT

It is not good enough to get seat in good NIT but considering your category and home state quota, you have some chances.

I am recommending Shiksha's College Predictor tool to every student as it will give you a fair idea to which college you may get.
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor

Yes, you can easily get into good NIT at this score, since you have cleared the cut-off prescribed by the NTA and hence you can get good NITs and in good branches.

Yes, you can, since you have cleared your exam and hence you can easily get into the NITs of your choice and also in good branches at this score that you have scored.

Hi,
Please visit Shiksha.com's college predictor-
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor. Ranks keeps on changing every year and differs from one branch to another and one college to another. If you fulfill the eligibility criteria of the specific institute you may complete further admission formalities. For now, I would suggest you to first contact the institute officials of the shortlisted universities directly for specific eligibility criteria details.

Hi,
Please visit Shiksha. Com's college predictor
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor. Ranks keeps on changing every year and differs from one branch to another and one college to another. If you fulfill the eligibility criteria of the specific institute you may complete further admission formalities. For now, I would suggest you to first contact the institute officials of the shortlisted universities directly for specific eligibility criteria details.

Yes, you can get NIT College at this rank and score as you have qualified and cleared the cut-off, then you will surely get the college but in the last round of the counselling.

Hi,
Please visit Shiksha.com's college predictor-
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor. Ranks keeps on changing every year and differs from one branch to another and one college to another. If you fulfill the eligibility criteria of the specific institute you may complete further admission formalities. For now, I would suggest you to first contact the institute officials of the shortlisted universities directly for specific eligibility criteria details.

Hi, Please visit Shiksha.com's college predictor-
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor. Ranks keeps on changing every year and differs from one branch to another and one college to another. If you fulfill the eligibility criteria of the specific institute, you may complete further admission formalities. For now, I would suggest you to first contact the institute officials of the shortlisted universities directly for specific eligibility criteria details.

Hi,
Please visit Shiksha.com's college predictor-
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor. Ranks keeps on changing every year and differs from one branch to another and one college to another. If you fulfill the eligibility criteria of the specific institute, you may complete further admission formalities. For now, I would suggest you to first contact the institute officials of the shortlisted universities directly for specific eligibility criteria details.