Thank you so so much, I appreciate your time, I couldn't done it without you. 🙂 and sorry for all the questions, I didn't wanted to make any mistakes. This was driving me crazy but finally all is done.
But lesson learned. I could have avoided this by just backing up my Mac before I went to Beta. Usually Apple's betas are stable but this beta made some Apps quit unexpectedly and most of my daily safari extension did not work/incomparable(due to the new privacy with Mojave) Most likely I will just use High Sierra, I may not upgrade to Mojave.
I deleted the temp administrator including the home folder successfully. the only thing that was left was the name of the temporary account under devices in the finder window, but I just went to "sharing" in system preference and I just changed the old temporary name to my new name. I hope thats correct?

I also successfully deleted the backup partition, but I had a panic for a second, when it started it, it said "MacOS could't be downloaded" and the screen was all black for a min (thought I did something wrong) but then it gave me an option to start, and then it started normally 🙂 So I think everything was successfully done. it looks like I got back the 125BG so now its back to 250BG.
I really don't know how to thank you. I really appreciate your time Encryptor5000 🙂
Thank you so much, you have been so helpful. If I could return a favour just let me know.