Dealership called and said that the problem was with a relay inside the central locking module. All of the issues (central lock button, interior lights, and remote) are all related the the broken relay.

He said it would be $675 (USD) to replace the module with a new one as just the relay couldn't be replaced.

They didn't know my car was CPO, so when I told him that, he said it would be covered by the CPO warranty.

Not sure what an indie would charge.

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Previous: 2002 X5 3.0 / 121,000 miles
Current: 2007 X5 3.0si / 93,000 miles