I may have to jump ship on you. Trying to understand the illogical explanation of your situation is getting to be too much of a burden.
My impression is that you have one Admin account, which is named XChrisX. So, you've either changed the name of the default Admin account, which is named Admin, to XChrisX, or you created XChrisX as an admin account, then deleted the original Admin account. You must have at least one admin account; you can have more. If you only have one, you will not see the option to delete that account. You say you don't have the delete option; therefore, you apparently only have one admin account, the one named XChrisX.