I just guess - I know nothing of motor vehicle electrics...
The warning lights in the car will probably be driven from a microprocessor running a small s/w programme. It may be possible that the s/w has a bug in it but the symptoms you report are not consistent with a s/w problem - too many things failing and - if it was a s/w issue - then other cars would also suffer and the manufacturer and the dealer would know about it.
Electronic components generally fail or work - they usually only behave intermittently when there's a poor connection. Continuing the guessing game your car may well have a poor or loose connection in the area of the small computer that runs the warning lights and dashboard etc - the vibration of motion makes the fault come and go - I would suspect a defective connector plug/socket or a dry joint. Very probably in the dashboard cluster circuit board.
Tapping with a wooden spoon in an attempt to bring the fault on may help diagnosis.
Good luck...
Peccavi
April 2010