From the factory service manual, P1336 - CKP and or CMP Input Signal to PCM Concerns. Possible causes are listed as:
- Damaged PCM
- Damaged CKP sensor
- Damaged CMP sensor
- Base Engine
- Harness Concerns
Issues with the CKP or CMP could certainly cause misfires. Since the car has stalled for you now too, I'd lean more towards the CKP (Crankshaft Position Sensor). You might start by carefully inspecting the wiring for the CKP.
-Rod