I have noticed that when I log off, my username and the administrator are two separate users. Although I (seem) to have administrative rights, is it possible to get rid of the administrator user, or rather my username, by transferring settings across accounts?
i think you will find the admin account is by default it is required when doing operating system repairs and such like. you then create your own admin account for routine functions installing progs etc then create user accounts which can be restricted to stop third parties interfering with the setup
You can't (and wouldn't want to) get rid of the Administrator account. Its not the same as your Computer Administrator Account. The "real" administrator account is more powerful than your Computer Administrator Account and its needed in the event that something catastrophic happens.
Its normally only listed on the log in screen in Safe Mode. Not sure why it appears on yours..