You're lucky the Check Engine light came on! I get cars in my shop all the time with issues such as yours, and there aren't any fault codes. In most cases, the Crankshaft Position Sensor (CKP) is the problem, sometimes it's the Camshaft Position Sensor. The CKP usually causes problems when the engine is hot, the cam sensor can act up any time. Have the codes read. That should give you some direction as to which way to go.