Engine continues to run even though key turned off and removed from vehicle

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Whilst driving to work with the cruise control operating, I heard a ping which usually informs that Cruise control has disengauged, however on this instance cruise was still active. Nothing else different occurred on my way to work. On arriving at work, I put the vehicle into "P" and turned the key off. All indications were that the normal shut down process were completed. Alas the message "select P" was displayed on odometer and the engine was still running as the system believed that I had not selected "P" to allow the engine to turn off. All other indications were that the shut down procedure had been completed. I rechecked to ensure that I had in fact selected "P". I took the gearshift out of "P" to "R" and the car wanted to reverse. I then selected "N" and then "D". The car wanted to move forward. I again selected "P" again and and turned the key "off" This time all of the instrument cluster gave the indication that I wanted to restart the vehicle. I then turned the key off again, received the same message that I needed to select "P" I could remove the key. After considerable time spent trying to stop the engine by selecting the Shift stick, the engine finally stopped. I again removed the key and left the vehicle. After moving away, I noticed that all headlights remained "On" (Auto was selected) even though is was daylight. I returned and turned the headlights off but the daytime driving lights remained "On" I could not turn them Off. I walked about 20 yards away from the vehicle and an alarm sounded. (not the usual alarm when someione tries to break into a vehicle). I went back to the vehicle depressed the unlock button and the alarm stopped. I then restarted the car and drove it to the dealership for then to investigate. At the dealership, I could not get my vehicle to shut down again. It was also 40 minutes till they actually opened. I could see personnel inside but they would not open the doors until the appointed Opening Hour. The vehicle remained running this entire time. As I had to await for my wife to arrive some 40 minutes after the dealership opened, the car was left running (keys removed). It was now around 100 minutes since I had arrived at the dealership and the engine was still running when I finally left. At this stage I do not know when they will look at the vehicle to determine what the fault is. Has anyone experienced this problem? The vehicle is a 2012 4XMotion Touareg and has around 63,000Km on the odometer.