Electrical issues and questions

[hmrlvr]

I'm having electrical problems lately I think. Three times now, I've unlocked my truck with the remote and got in to start it. Before I did anything, I could hear the cds changing in the radio. When I start the car, the clock says 12:00 like the battery was dead. The truck always starts though. It has happened only since I added some lights to the grill. The lights are PIAA brand and the switch has a small light on it which is on all the time (either green or red). Is that enough to drain the battery over a 2 day period of the truck sitting? Any ideas? Thanks