Had a similar problem when a new CECM was installed although the long coding was copied from the old one the boxes for the heated seats and the air con were not ticked, they still worked. The rear screen demister which was ticked didn't
When you pressed the switch it lit and the info came up on the RNS510 then went off! sound similar problem. Just ticked the heated seats,air con and low and behold the rear screen was happy!