1. The code P1309 usually sets because the CMP synchronizer is not installed properly, and is "out of time".
2. If the special tool for installing the synchronizer is not available, the synchronizer must be installed with the crankshaft at 26 degrees AFTER TDC on the #1 cylinder COMPRESSION stroke. To find 26 After Top Dead Center (ATDC), set the engine at TDC of #1 compression stroke, then watch the teeth on the Crankshaft Position (CKP) sensor tone ring on the front of the crankshaft. Turn the engine by hand until an additional two and a half teeth on the tone ring have passed the CKP sensor. This will be 25 degrees ATDC (you can estimate 1 more degree from there). Then install the synchronizer so that when it is bottomed out, the skinny vane that rotates through the sensor is centered in the sensor opening.
3. Once the synchronizer and CMP sensor are installed, the misfire profile will need to be relearned. To do this, verify that the fuel level is between 1/4 and 3/4 tank, then drive the vehicle, and do 3 or 4 decelerations from 65 MPH down to 40 MPH without touching the brake pedal.
Hope that helps. Let me know if there is anything more I can do.