Colleges in Delhi

Government institutes for BCA in Delhi are:
Guru Gobind Singh Indraprastha University
Mahatma Gandhi University
Jamia Hamdard University.

Based on last year's ranking cut-offs, there is a good chance of someone with your rank making it to BIT Mesra.

Yes, you will get admission just appear for the counselling.

Some of the colleges for this course are;
Ambedkar Institute of Advanced Communication Technologies and Research. Dr. Akhilesh Das Gupta Institute of Technology & Management. National Institute of Technology Delhi. G. B. Pant Engineering College, New Delhi. Delhi Technological University. You can prefer these colleges for this course.

The cut-off is based on the number of students that apply and the aggregate of students. Cut-off for BA (Hons) English is considered relatively high every year. So, I don't think that you can get admission.

No, it is not possible to take admission in any college this year. You have to try next year.