Sometimes if there are such switches they are using a reed switch (a magnetic switch which is flipped if a magnet comes close). If you have such a switch then you wouldn't see any moving parts. Anyway, those switches hardly ever break, but of course it is possible that the magnet itself has fallen off the display. But since you can see a picture I don't think there is a problem with a lid switch, it would turn off the display completely. Maybe you have a problem with the power supply or cable for the inverter.