My 2005's mil light does not go out after the engine starts and runs fine. I have check the computer for hits and nothing shows up. I did have a P1652 code but that is cleared now.

 

I'd try unhooking the batteries for 20 minutes, before you hook them back up, turn the key on and mash the brake pedal.

If that does not work, you may have to take it to the dealer so they can see what it throwing the CEL.