I do not have an auto car so I can't really tell you IF its normal or not. But I suspect it is.
On my car when I touch the trunk(switch - above the lic plate) to open it, while the car is locked... the starter button will light up inside the car and the car will "wake up" from its sleep mode. I suspect that is what you are seeing. After the car "goes to sleep" the starter button light goes out. Also IF you have a USB stick in the slot... it goes out too( your USB stick LED).
Maybe you can CA(comfort Access) and that is why you are seeing the Park LED light.