IIIT jabalpur or Allahabad!

Dear Reader,

Your rank is quite satisfactory and yes you can expect a NIT for sure as per the counselling status. But for IIT you have to wait till last rounds of counsellling. Kindly visit the link mentioned below to stay updated about the cut off of each round and you can also predict your college easily through a sub link on that page only.

https://engineering.careers360.com/articles/jee-main-counselling-seat-allotment 

Yes you can get some lower bodies of NIT and some other good colleges as well. You have got a descent rank and so you fall in the category of eligible students willing to seek asmissions into good NIT and IIITs. You can surely get one of your choices, just wait for the counselling proceedings to begin and hope you get one. Good luck!