UPCAT

Institute of Engineering and Technology, Lucknow
Madan Mohan Malaviya University of Technology, Gorakhpur
Kamla Nehru Institute of Technology, Sultanpur
Bundelkhand Institute of Engineering and Technology, Jhansi
University Institute of Engineering and Technology CSJMU, Kanpur
Dr. Ambedkar Institute of Technology for Handicapped, Kanpur
Nitra Technical Campus, Ghaziabad
Feroze Gandhi Institute of Engineering and Technology, Raebareli
Government Engineering College, Banda.

Yes, it depends on the result.

Yes, you may get direct admission only if you are board topper or state topper in class 12th. Some colleges take direct admission of such students. Second method is the management quota and donation seat.

Yes, you will get CSE in JSS/AKGEC. Your rank is good, maybe you have to wait for the 2nd or even 3rd counselling round.
Good luck.

Yes, you are eligible to pursue CSE from JSS at this rank.