UPCAT

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.

https://www.shiksha.com/b-tech/resources/upsee-college-predictor
Use the above link and predict your college on your performance basis in UPSEE.

https://www.shiksha.com/b-tech/resources/upsee-college-predictor
Use the above link for your college prediction on your performance basis of UPSEE.

Hello, I hope you are doing well. You can check the list of colleges including NITs and IIITs that you can get according to your marks and rank. Use Shiksha JEE college predictor:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=connect&utm_medium=CR_JEECP&utm_campaign=7489993.

For admissions in M.P colleges, you need only JEE Mains marks. For admissions in UP colleges, you need to give UPSEE only for state government universities.
For admission in DU, the admission is on the basis of CBSE marks (for political and human resource courses), or on the basis of separate entrance test and JEE Mains marks as well. They have a separate number of seats for separate exams.
Hope it helps.

Probably,
As per your rank, there should be no problem of you getting this college.
Good luck.