NIT

Hello, I hope you are doing well. You can check the list of colleges including NITs and IIITs that you can get according to your marks and rank here. Use Shiksha JEE college predictor:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=connect&utm_medium=CR_JEECP&utm_campaign=7489993.

Hello, Hope you are doing well. As you said you have 69000 rank in JEE Mains so you can definitely get any government college with this marks but there will be problem in getting NIT because it requires more number and good rank. 69K is also a good rank but not for NIT only for government. All The Best.

Hello, Hope you are doing well. Sorry you will not be able to get the NIT with the marks 53 only because it's too less and you need almost ranks around 20K ( approximately ) which is not yours. Try to get some private college and go for councelling. All The Best.

Yes you will get admission. Choose your college wisely and the branch you may get based upon previous stats. Then fill up your choices accordingly. Upvote if it helps.

https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor
You can go through this link to have an idea that what college you will get. So, go through this link.
Good luck.

Our expected category rank will be around 9900. You have less chances to get top NITs but you can get others. To check which NITs you can get based on your marks/rank you can use below college predictor
JEE Main College Predictor
You should also appear for JEE Advanced to get admission in IITs. Good Luck!

You can check it here brother:
https://googleweblight.com/i?u=https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor&hl=en-IN.

Best NIT you can get is MVNIT, Jaipur, Nagpur NIT, and below and non-core branches in NIT Surathakal. Moreover, don't go for college names, prefer good streams over them.

You are likely to get NIT, but with average rank, LMNIIT with a decent branch, though don't go with NIT less than 15th position among them. Moreover, shortlist the colleges according to their last year cutoff.

It is very difficult to get a good NIT with the rank with general that you have the rank in category. Please, the chances are very least. Moreover https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor this college predictor might help.