I had this issue where , opening driver side window, shifting transmision from park would activate the hood warning. AUTO START was acting intermittent where the alarm would go off when i pressed lock on remote or, in an other intance, it would start the engine but engine would run for 10 seconds only. The issue was a ground strap cable from motor head on the left side (rear) to the firewall. it was corroded/rusted and was shorting out hot. There is a bulletin on this from GM.