Hello and welcome to Just answer.com, Super mechanic here. About your vehicle.
There have been some issues with the heads, (valves in particular) there was also a service bulletin for that.
TSB 06-5-13
03/20/06
SERVICE PROCEDURE
FOR VEHICLES WITH RUNS ROUGH/MISFIRE
CONDITION:
WARRANTY STATUS: Eligible Under Provisions Of New Vehicle Limited Warranty Coverage
ASE MASTER
ASE Master tech. 30+ years mechanic, shop forman, service manager