Ok, let's start from the top. The p0113 usually sets when there is a problem with the MAF (mass air flow sensor). Here is how you diagnose it to see if it's bad:
1. Check the Grey (GY) wire of the Mass Air Flow (MAF) sensor for a reading of 4.7-5.0 volts with the MAF sensor connected and disconnected.
2. If there is no voltage on the GY wire whether the sensor is connected or not, check the GY wire for an open circuit running between pin 22 of the C175e connector of the PCM and the MAF sensor. Repair the open circuit or run a new wire as needed.
C175e is the PCM connector closest to the passenger side fender.
3. If the GY wire shows near 5.0 volts whether the sensor is connected or not, check the voltage of the Grey/Red (GY/RD) wire at the MAF sensor with the MAF connected. This circuit should indicate a reading of less than 0.1 volt if it is supplying the Intake Air Temperature (IAT) sensor (of the MAF) a good ground.
4. If voltage of the GY/RD wire is showing a higher than normal reading, service this circuit for an open circuit of the harness. This is the same circuit running to the Throttle Position (TP) sensor and Exhaust
Gas Recirculation System Module (ESM) connection.
5. If the GY wire shows close to 5.0 volts and the GY/RD wire shows less than 0.1 volts with the MAF sensor connected, inspect the female and male terminals of the MAF sensor for a pin mating issue and address as needed. If the pins are making good mating contact, it would suggest the IAT sensor internal of the MAF has failed