Welcome.
Is it an auto? If so the selector switch on the side of the box under the car can fail, or need the plug cleaning. It would show the gear cog on the dash too.
Sometimes you can get it to work by shifting the lever to Neutral before turning the ignition on and starting the car.
Those two codes both seem to relate to the DME, but you say the car runs ok?
I take it they won't clear then?