IIT

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.

If you have got more than 75% in 12th board exam and you are being allocated any seat through JoSAA, you are eligible for getting admission.

Your 11th marks doesn't matter in JEE all that matters is how well you have performed in JEE and whether your 12th board marks are above 75% or not.