UPCAT

Your rank is very good. There are good chances for you to get a good government college.

Yes you can get admission only through UPSEE Counselling.

Uttar Pradesh State Entrance Exam (UPSEE) is a state level undergraduate engineering entrance exam. The entrance test is conducted by Abdul Kalam Technical University (Formerly known as UPTU) for admission to around 1.50 lakh seats including around 4,000 government college seats. AKTU conducts UPSEE in offline (Pen & Paper based) mode only.

Your rank is not good and there are very less chances to get admission in a government college, but you can get admission in a good private college.

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.