Check all of your door switches. One or more of them may be faulty.

 

BCM? Broken wire? Bad fuse? Brake switch? Transmission range switch? I would start by checking the fuses with a test light to make sure there is power going to the fuses. Then check those door switches. I have a feeling there is broken connection somewhere. Maybe even check your relays. Hope this helps.

 

Does it have a sunroof? If so, has the passenger floor ever been wet?

You still using the POS OEM Battery Terminal Connectors?

 

 

When your sunroof leaks, it gets the BCM wet (95% of the time). The BCM controls everything you described as your problems. When the BCM gets wet, the electrical Gremlins have an open door.

A friend of mine had very similar problems to what you describe (add in wipers turning on and off by themselves), it was a wet BCM as it all started after a couple days rain when the sunroof drains were plugged and flooded the passenger floor.

The Battery Terminal Connectors are a known problem, the all fail eventually, and cause other electrical Gremlins.