NIT

No, but this rank will not get a seat in NIT for B.Arch. You can still apply for good private colleges such as Manipal University which takes admissions on MU-OET. Hope it helped.

No considering you're from general category you won't get any college through JOSSA. So no NIT.

Dear Candidate,
DIT University takes students on basis of JEE Rank & 12th Boards Merit. The first counselling for engineering is on 9th & 10th of June. So if you are having 60% throughout in class 10th, 12th & PCME of 12th, then you are eligible to participate for the same. And for this, you have to register online by 5th of June through the website:
www.dituniversity.edu.in

You will easily get a seat in one of the NITs with higher rank with CSE stream. Kindly fill the counselling form according to your preferences. Moreover, you'll get one definitely in Surathkal, Rourkela, Warangal and Trichy.

With this ranking, you will not be able to get an NIT as the marks seem lying around the cutoff. You should apply for state government colleges or autonomous institutes. Moreover, trying a seat in lower NITs such as Manipur and Silchar will not be worth it for distance education.

No, in Tamil Nadu, the best college is NIT Trichy and Anna University. For both it is difficult as for NIT, the minimum marks are 75% in HSC and around 4000 all India rank for B.Arch. I would suggest a private college in Bangalore or Hyderabad.

There are very few seats for general in both the colleges. Also, in NIT, minimum board percentage should be 75%, so you will not get NIT.
For Sir JJ, the admissions are through 50% board + 50% your competitive scores. Your board percentage seems less, so the chances are very thin.

Dear student, any candidate can get colleges like NIT or IIIT through JEE Mains also.
Advance plays a role in getting the admission in IITs, since through JEE Mains counselling, students can get NIT, IIIT only but not IIT.
Hope your query is resolved.
For any other query, please feel free to ask me.
Best of luck.

I am predicting this as your general rank. Yes, you can get NITs and IIITs too.