Sorry, 2006 Grand Prix GT
Thanks for the help all. The light went off again was working okay. I tried to remote start tonight (16 degrees out) and it started but I didn't get in the car before the 10 min limit and it shut off. I Remote started again but it failed to start. I started it up normally and drove off and after about 5 mins, the CEL went on.
I'll see if I can get a code tomorrow.
I am pretty sure it's factory remote start. It acts as described in the owners manual. I bought if with 50k miles on it, it's at 86k now.