IIIT Una - Indian Institute of Information Technology

23500 : Opening Rank
32165 : Closing Rank

According to 2021 cutoffs, you will be able to get admission in courses like ECE, IT, etc.

Yes, of course you can.

Kindly predict your college through this college predictor. The rank predicted might not be accurate, but it certainly gives an idea to the aspirant.
https://www.shiksha.com/college-predictor

No, I did not find any fee waivers from IIIT. I checked multiple websites and other sources. But there are numerous scholarships on offer depending on the location of the college.

The total fees for admission in B.Tech in Computer Science and Engineering from IIIT Una - Indian Institute of Information Technology (IIITU) is Rs. 5.64 Lakhs.

Frankly speaking, IIITs are well known for information technology courses. It's quite tough to differentiate between these institutions. However, to help you I am attaching a link that will give you all the required information about not only these institutions but all the colleges in India which are offering this branch for studies.
https://www.shiksha.com/b-tech/ranking/top-computer-science-engineering-colleges-in-india/46-2-0-0-0
Best wishes to you.

If you don't belong to general category then you can get admission in few NITs and IIITs.
To know in which NITs or IIITs you are eligible to apply, use the college predictor tool:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor