Hmmmm.... dunno.
These two diagrams cover the system:
If fuses 18, 23, and 42 are all good then I don't see why all 3 sockets would be out.
The power socket relay going bad could explain the two 'power' sockets being out - but it doesn't explain the main cigarette lighter plug.
It looks like if the fusible links under the hood were bad that you'd have some other issues - like the radio and mirrors not working.
It's possible that more than one thing is broken - but I don't see any single point of failure that would cause all 3 to go out without other consequences