Sounds like a problem with the camera feed. I seem to recall problems In the past being reported with the cabling from the boot lid to the body becoming damaged
Sounds like the old boot loom problem again whch can manifest itself in non-opening boot, number plate light out or non-functioning camera. I believe it's a fairly easy fix according to the folks over on Jaginfo.
It's the boot loom. This happened on mine last year but I managed to get it done under the extended warranty I had taken out. The loom itself is £80 or £90 I think.