UPCAT

Sure, do check the list below:
1-zakir Husain College Of Engineering
2-Aligarh Muslim University - Faculty of Engineering & Technology
3-Faculty of Architecture, Shri Ram Group of Colleges
4-School of Architecture, G L Bajaj Group of Institutions
5-Institute of Professional Studies, Nirmala group of
6-Shree Bankey Bihar Institutions of Architecture
7-Purvanchal Institute of Architecture And Design
8-School of Architecture, Babu Banarasi Das University.

Yes, there are 75% chances that you'll get government colleges.

Yes, you can get CSE in IET at this rank.

At this rank, you'll get IET, KNIT, CSJMU, Bundelkhand University, MJPRU, etc.

MJPRU and CSJMU is best for B.Pharmacy. Both have decent placement pecords with around 3 lacs per annum as the salary.

Yes, on the basis of your SC rank, you'll get MIET.

No, at this rank, you'll not get lateral entry because lateral entry depends on the basis of vacant seats in second year and you have a very high rank for lateral entry. Iin IET, your rank should be around 10.

IET Lucknow seat matrix:
Total seats for 4-year B.Tech 480
Chemical Engineering 60
Civil Engineering 60
Computer Science and Engineering 60 Electrical Engineering 60
Electronics & Communication Engineering 60
Electronics & Instrumentation Engineering 60
Information Technology 60
Mechanical Engineering 60
Try and maybe you will get in but chances are less.

If you want a well-established government college, then it can be little difficult but if you want only "government college tag" then the four newly established government colleges I. e. , Rajkiya Engineering College (Band, Mainpuri, Ambedkar Nagar and Bijnour) are easily obtainable as per your rank.
Good luck.