2001 Dodge Caravan

When I turn the ignition to Accessory, all the interior accessories are functional, i.E, heater, wiper, radio, etc. When the van is started the accessories shut down within a split second. This occurs intermittently. Sometimes the accessories come on by themselves after the engine runs for a while. Other times I have to shut the vehicle off and restart for the accessories to start working. Today I tried to start the engine and then cycle the ignition switch from accessory to start several times while the engine was running. By doing this, on some occasions the accessories will start up again and on other occassions it will shut down the accessories. I don't know if this is a direct result of cycle'ing the ignition or if this was merely a coincidence.
I've pulled all the fuses and relays from the pwr distribution panel checking for corrosion and/or failed components. Everything looked normal.
I've hinged the distribution panel over to expose all the plugs below. I was shocked to see that the connectors are not sealed when they are actually exposed to the elements below the panel! In any case, I've pulled all of these plugs and re-inserted them multipe times to clean the contact points, then sprayed them all with die electric grease and re-connected the lot.
The accessories still come on and off intermittently.
Do you have any suggestions?
I appreciate any advise you can provide.

Randy