UPCAT

Yes, of course, you can get. It will be very easy to get admission with this rank.

Getting admission with these scores are really very difficult for you. Maybe, some colleges can give you admission through donation, management quota. Call in some colleges and ask them, if they can give admission through management quota.

Yes, you can get Government College. There are various phases of counseling, maybe in first counseling you may not get, but in later counseling, you can get. Keep trying with the various phases of counseling.

Shiksha pe UPSEE College Predictor use karo. Ek idea mil jayega ki kaun sa college mil sakta hai.
Follow the link https://www.shiksha.com/b-tech/resources/upsee-college-predictor

Yes, you can get a good college with that, like AKG, KIET, and ABES. Just relax, and as you know that counseling date is arriving, so choose your desired college.

List of best college:
IIT KANPUR INDIAN INSTITUTE OF TECHNOLOGY
MNNIT -ALLAHABAD
INDIAN INSTITUTE OF INFORMATION TECHNOLOGY
LUCKNOW COLLEGE OF ARCHITECTURE
INSTITUTE OF ENGINEERING AND TECHNOLOGY
KAMLA NEHRU INSTITUTE OF TECHNOLOGY
SAI COLLEGE MEDICAL SCIENCES AND TECHNOLOGY
MEERUT INSTITUTEOF ENGINEERING A

No, NATA and UPSEE exam are not held on the same date.

You can get many colleges for CSE as your category rank is very good. Just go and fill your counselling form.

No, your score in class 12th is too low. You cannot get admission through UPTU exam. You may get a seat through management quota.