IIT

Offcourse both the institute offer the same courses and make you same degree that is of Bachelor in technology and by joining both these institutes they offer your good package after the degree but according to current studies iits are more often good from NIT as IIT's have been given to the students who get a good JEE rank and NIT is also given to students who are good in studies who qualified JEE Advanced but just students who get less rank are generally goes to NIT colleges but both these colleges are good and you can go anywhere but you should prefer IIT more.

Good JEE Main Score Rank to Secure Admission in NITs:
In order to secure admission in NITs through JEE Mains the good score for the same can be around 85 95 percentile. At the same time the candidates must feature among the top 15000 and 20000 ranks range to get admission in the top NITs
Cut off rank varies according to the branches. To get admission in IITs your rank should be under 9800 in general category
On a medium difficulty paper, a percentile of 97 to 98 can be expected with a score of 120 out of 300 in JEE Main. You can expect your score to be in the range of 22000 and 33000 if you are in this percentile.

Yes it will be nice.

To answer this you should understand that both are whole different things and have different scopes, so first of all make clear that what you have to do on future, B.Tech as name suggests have technical value and IIT offers you the best, if asked upon me, I would rather choose IIT.

If you have opportunity to go through IIT then choose IIT BHU over BHU, as name suggests you have all different expose in both campuses and further opportunities, IIT offers you with a different infrastructure including library and different cells which is a part of IIT campus.

In case you have qualified for examination and your date to fee submission is passed it is suggested to you to contact office and officials as your seat is allocated after you have submitted seat acceptance fees. In case you have not submitted seat acceptance fees, nothing can be done.

As per my Understanding top colleges/ University for CSE are
BITS Pilani, ICT Mumbai, Mumbai. VIT Vellore, Vellore. Thapar Institute of Engineering and Technology - [TIET], Patiala. ITER Bhubaneswar, Bhubaneswar. LDCE Ahmedabad - LD College of Engineering. Geeta University, Panipat
MSRIT Bangalore - Ramaiah Institute of Technology. BMSCE Bangalore - BMS College of Engineering. Consider Geeta University, Delhi NCR. CSE department has a group of dedicated regular and visiting faculty members which are the experts in their area of work. However, faculty hiring is very selective, and the department looks for brilliant Computer Scientists.

An IIT tag doesn't matter, if you work smart for something you want. Whether you are an IITian or not you have to work same for something you want.

According to the Joint Seat Allocation Authority Round 5 Cutoff for the IIT, Jammu, the opening and closing ranks for BTech in Materials Engineering is
The opening rank is 4097, and the closing rank is 4097 for the EWS General Category (Gender-female)
Therefore, you may have chances in round 6, but in round 5, you missed the cutoff by a few ranks.
For more details, you may use the Shiksha page. (https://josaa.admissions.nic.in/Applicant/seatallotmentresult/currentorcr.aspx).
I hope this will help you.

Congratulations for soring good rank and as of your rank you can get in any college which you are interested and I suggest VVIT college and coming to branches choose either CSE or ECE thank you.