I also think the BCM may have a problem. You would probably need an honest, skilled dealership tech with a factory-level scan tool to verify this. When you say “door lights”, I’m assuming you mean the indicators that show that you have left one or more doors open/ajar? If all the problems are confined to the instrument cluster lights, you could also have a bad instrument cluster.
I would try removing both battery cables (negative first for safety), then touching them together after removal to discharge any remaining energy lurking in the system. Make sure they and the battery posts are very clean, then reattach after waiting 15 minutes. (make the last connection with the negative cable) If the problem has gone away, great. If the problem occurs before even starting the vehicle, that casts doubt on a bad alternator, as it isn’t even spinning until you start the car. You can also try resetting the cluster–I’m not sure how to do this on a Honda, but on some Mopar vehicles you can turn the key on while holding down the button that resets the trip counter, and keep holding it until the cluster starts a “self-test”, during which the gauges all sweep to their maximum and all lamps come on and go off. If you Google “honda instrument cluster self test”, there are a lot of Youtube videos showing this too, so apparently it is possible.
Of course if the problem has occurred twice, it will probably come back.