2001 PT Cruiser won't stay running. Security light is on. on 2001 Chrysler PT Cruiser

My neighbor has a problem with his PT Cruiser. The car won't always start, and if it does, frequently stops within a few blocks. The security light is always on, and he's already had a new key programmed at a dealer. He opens the door with the key fob, so I would think that the security should turn off.

Asked by for the 2001 Chrysler PT Cruiser