NO, it will NOT automatically lock up when you get out of the car.....

If the car is sitting and locked and then you unlock it with your key fob and DO NOT open the door or trunk, it will automatically re-lock after about 1 or 2 minutes....I didnt time it.... which is annoying when you are changing wheels..

edit: I went out and timed it and it re-locked after 45 SECONDS....