Diebeatles Said:
“This I s the trouble. I created a new user with administration settings but the original user is still greyed out. I can’t edit either the privileges or delete the account.”
Two Thoughts:
A. Create a Third Admin User:
What happens when you create a third Administrator User? See if you can delete the other two accounts.
Or, if that does not work, then...
B. Reinstall the macOS Anew:
Try This:
1. First, Backup your Mac, then
2. Then, install your macOS Mojave anew.
3. Finally, migrate it over.
In Depth:
1. Back up your Mac:
Start by Creating a Time Machine Backupof my Mac. That way I could be assured that Incan recover my Mac, should I need the App back or if anything goes wrong due to the removal. So, Create a Time Machine backup of your Mac, so that you can have something to restore your Mac from, should anything go wrong with the reinstall.
2. Use a USB Bootable Installer:
Create a USB Bootable Installer for Mojave. Delete the hard drive's partition. Then, install this macOS with. Go Here: How to create a bootable installer for macOS - Apple Support.
3. Migrate and Reinstall Data and Apps:
Next migrate it over from the Time Machine Backup you created in step 1 to this new install. If required, request from the developers new keys for the software, informing them that your computer crashed. Ask for 64-bit installers, if looking to install Mojave and upgrade thereafter.