After being parked in my dry garage for a few weeks, my van doesn't have these problems anymore (for now). But I'm sure they will come back the next time I camp in the rain.
It sounds like I should first disassemble all three door panels that have power-locking buttons, and check the electrical connections.
2004 Van is not old... LOL.. You have a simply Ground issue.. Open the Drivers side door panel and start with the grounds and the Connectors that run to the Switches.
Perhaps not "old" yet, but definitely tired. I've used my van hard over the years, and it's starting to show.