Harcourt Butler Technical University, Kanpur

Recorrecting your Exam name to UPSEE, you have excellent rank and you need not to worry. For HBTU, it takes through JEE Mains only. You can get into UP's top Universities such as UPTU's BIET Jhansi etc. and all such colleges accepting UPSEE.
PS : Kindly mention if the exam is different UPSEE . Best of luck and relax :)

Yes, you'll get into HBTU with this rank. Moreover, you'll not be able to get CSE for sure as the previous cutoff for HBTU CSE is too far from your rank so its likely to deviate. Moreover, you'll get branches such as Mech, BIOTECH , CIVIL, EEE , IT/ECE (less chances).
Best of luck.

Yes, you can get the desired college with your rank.

HBTU Kanpur will be a better choice as compared to Jaypee Noida. HBTU Kanpur holds better records than JIIT Noida.

You can go For JSS noida.

Please go to the college predictor link I am sharing here to know about this. You can predict your college here according to your rank.
Link: https://www.shiksha.com/b-tech/resources/upsee-college-predictor.
Good luck!

Yes, you will get desired college and you can GET STEP, HBTI, too.