Lucknow

Hello Devanshi,
You have obtained quite a good rank in UPSEE. I feel that you will get admission in your desired college and branch. However, to help you, I am attaching a link that will predict college for you.
https://www.shiksha.com/b-tech/resources/upsee-college-predictor

If there is a seat in the self-financed course then you can take admission.

Yes, of course. There are good chances for you to get ECE in IET, Lucknow.

Yes, at this rank, you can get IET, Lucknow for civil engineering and closing rank for SC girls is 19601.

Yes, Lucknow University is very good when compared to other private colleges in Lucknow. Basically, the main reason is that it is government university, so the value of B.Tech from Lucknow University is very much higher than other privates college in Lucknow. The placement and infrastructure criteria is also quite good. So, you can prefer Lucknow University over other private colleges.

Yes, you can get admission.

Use Shiksha's College Predictor Tool to know which college you can get on your UPSEE rank basis.

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

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