Hmm, odd. The last picture was the one that I was looking for. What I would try is to unbind the computer from the domain and rebind it. After it is bound again, run the following command:
dseditgroup -o edit -n /Active\ Directory/All\ Domains -u DOMAINADMINUSERNAME -p -a BBC\domain admins -t group Administrators
(I haven't tested the command, so it may not work on the first try. It's basically just to re-add the domain administrators to the local administrators of the machine)