Colleges in Uttar Pradesh

Yes, BCA course is available at the Institute of Technology and Science
For information on the course offered by the institute, you can follow the link provided below:
https://www.shiksha.com/it-software/course/bachelor-of-computer-application-institute-of-technology-and-science-ghaziabad-188297

With much score and rank, it is enough to secure a seat in this university.
https://www.shiksha.com/college/faculty-of-law-banaras-hindu-university-Varanasi-2501/admission

You can visit the link to know the whole admission process of this institute:
https://www.shiksha.com/university/csjm-chhatrapati-shahu-ji-maharaj-university-kanpur-23593/admission

Yes. You can get the seat. All the very best.

You have not mentioned which course you are seeking for admission in Allahabad University as every course have different eligibility criteria. Therefore, first you need to mention the name of course. You can also refer the following link to get detailed information about eligibility criteria for all the courses at Allahabad University (AU).
https://www.shiksha.com/university/Allahabad-university-au-3574