I'm making some big assumptions here and might have jumped the gun.
The big assumption is that you are running an AL4 gearbox...are you?
If it's not an AL4 my knowledge is going to be limited.
Ok, if it is an AL4 then here is a circuit diagram. I really need to get off my a$$ and get SEDRE installed, the circuit diagrams I have at the moment are cr@p. If you provide your VIN and ask Arfur very nicely, he might provide the correct diagram.
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The selector switch is labeled 1635 right down the bottom. The reverse switch is the set of contacts 3rd in from the left (of course labeled R).
This diagram is for an earlier model but I believe the over all "how-it-works" is still basically the same, at least as far as the AL4 is concerned.
The fact that the reversing "stuff" isn't working is pretty straight forward however I am a bit lost as to how the display is not working.
Do the "sport" and "snow" buttons on the selector quadrant work? Sport just causes the engine to rev out more before the auto changes gears. Snow just locks it in 2nd gear. They are labeled 1640 on the diagram. You will note that they are connected to the BSI and not the gearbox ECU. If they work it means the BSI is
"talking" to the gearbox ECU.