In zero degree weather my car freaks out

In the about zero degree weather we have had it has freaked out! When the temperature gets to the mid twenties it mostly goes back to normal but this is what happens. The power locks (from inside the car) and windows do not work the rear hatch will not lock either way. The rear windshield wiper won't work and the rear defroster will not turn on. The dash door sensor does not turn on when a door is open and the TRAC off and SVAC light stays lit. The running board lights do not work and in an empty garage the locks lock and unlock themselves and the panic thing goes off. Possessed!