UPCAT

Dear Rajan, check the link below to know the colleges you can get with this rank:
https://www.shiksha.com/b-tech/resources/upsee-college-predictor
In case, you don't get your desired college, don't settle for something mediocre. Instead of settling down for some mediocre college, it would be better if

Counselling fee is Rs. 20000 and the registration fee is Rs. 1000.

You can get admission in Galgotias and it is the best in terms of facility, faculty and placement.

I think you should choose IET, Lucknow and there are 80% chances to get into IET. IET is at 2nd position under UPTU. It has good placement records from last 10 years.

You can get government colleges like:
IET
CSJMU
Bundelkhand University
MJPRU
GEC Kannauj
Galgotias

I am listing some top colleges under UPSEE:
Amity University
KIET Group of Institutions - [KIET]
Babu Banarasi Das University - [BBDU]
Sanskar Educational Group - [SEG]
Galgotias University - [GU]
Invertis University
Prasad Institute of Technology - [PIT]
SR College of Pharmacy

Your rank is not good to get into IET, Lucknow but you can try for KNIT, Sultanpur.

UPTU stands for Uttar Pradesh Technical University and it's conducted by UP Government. The State Entrance Examination - Uttar Pradesh Technical University (SEE-UPTU) (formerly known as UPSEAT) is an annual college entrance examination in Uttar Pradesh for engineering, architecture, pharmacy and man

Seats are dependent upon the college. Every branch of engineering has 60 seats. You can calculate by yourself.

No, it is not included in BCGL.