NIT

NSIT is quite good for CSE. Top 5 NITs are better than VIT. VIT is better than other NITs.

Those are good nits but you can go for NIT Warangal.

Go for the branch in which you are interested. Think about the college after that. You have to learn that for 4 years. If you choose any non-interesting branch, then you can't do good. Go for interest, not for placements. Don't worry about new or old. You can apply for jobs outside also. So, choose the branch first.
Best of luck.

You have scored well in JEE and you have scored a great rank and yes, you can get a seat in NITs.

Sorry, but you won't be able to get into NITs with this rank. For NITs, you need a minimum CRL rank for 50 thousand. Above all, ranks are for eligibility of JEE Advance. Go for private colleges or either go for a drop.

NIT, Allahabad is better than IIIT, Allahabad. NIT, Allahabad gets extra benefits than NIT . According to MHRD too ranking of NIT Allahabad is far better than IIIT i.e 48 over 90 . Do move for NIT else IIIT-A is also having great repo for coding . Best of luck.

Yes, you can get admission but I will suggest to check last year's cut offs and result.

No, it's impossible as your rank is in 90,000. You are required to score around 30,000 or 40,000.

Your score is low for NITs. I will suggest you to go for private colleges.