STARTED VEHICLE DURING RAINY, FOGGY, 40 DEGREE WEATHER. HEADLAMP INDICATOR DID NOT COME ON WITHIN GAUGE CLUSTER. UPON CHECKING OUTSIDE THE CAR, ONLY PARKING LIGHTS WERE FUNCTIONING DESPITE HEADLIGHTS SWITCH BEING IN THE "ON" POSITION. BURNING SMELL OCCURRED WITHIN 15 MINUTES OF DRIVING AND MULTIFUNCTION HARNESS CONNECTOR IS MELTED. *TR