Just to troubleshoot one area- you said driver's side door. Assuming you are using passenger door and reaching across to turn the key to warm it up then right?
If so, unplug your door harness on the driver's side door and see if the same issue happens.
2013 JKU Sport, billet, auto, 3.73, LSD, 315/75/16 Duratracs on MB 72, 10A springs, Bushwacker flatties
Sold - 2005 TJ, red, auto, 3.73, 33" Duratracs, 4" lift
Ice storm casualty in 2007 - 2003 TJ, green, auto, 3.73, 33" Duratracs, 4" lift