The exterior lighting control is a direct output of the BPM (Body Processor Module). The parking distance system has its own control module. There is a ground connection for the parking module in the right rear of the trunk that may be shared with the lighting system. That would be a good place to start.
The next step would be to take it to a qualified service center with the Jaguar Landrover diagnostic system for further diagnostics.
We are familiar with these vehicles and would be happy to help if needed.
Thanks. James EuroAsian Garage 18451 Des Moines Memorial Dr. Seatac, WA 98148 www.euroasiangarage.com