Sounds like a shorted out headlight switch, I would try unplugging the switch from behind & see if all the lights on the dash & rear license plate light go out.........
The easiest way to check for a heavy draw, such as a circuit grounded, is to disconnect the negative battery cable, attach a 12 volt test light between the negative battery cable and car body ground, note: you will have to hold down the trunk light button, because the trunk will be open.......the 12 volt test light should only light very dim from parasitic draw, if any.......on the other hand if it lights bright.......you have a grounded circuit......to find it, just start pulling fuses.......
jb