Codes P0562, P0123, P0222 and P0113, engine does not crank and the check engine light flashes?

Here are the code definitions and it looks like the TIPM is not working which is common.

P0562 - System Voltage Low: This code suggests that the vehicle's electrical system is operating at a voltage level lower than expected.

P0123 - Throttle/Pedal Position Sensor/Switch 'A' Circuit High:

P0222 - Throttle/Pedal Position Sensor/Switch 'B' Circuit Low:

P0113 - Intake Air Temperature Sensor 1 Circuit High Input: This code means that the intake air temperature sensor is reporting a higher than expected temperature.

Here is how to change the TIPM out which is easy because it self learns.

TOTALLY INTEGRATED POWER MODULE (TIPM) - REMOVAL
REMOVAL

1. Open hood.
2. Disconnect and isolate the battery negative cable.
3. Release the Totally Integrated Power Module (TIPM) cover retaining clips and open the TIPM cover.
4. Remove the TIPM positive cable retaining nut and remove the cable from the stud.
5. Depress the four mounting clips to disengage and remove the TIPM housing from its mounting bracket.
6. Disconnect each of the seven TIPM wire harness connectors.
7. Remove the TIPM from the vehicle.

INSTALLATION

CAUTION: The original Cabin Compartment Node (CCN) and Powertrain Control Module (PCM) must be installed and functioning properly prior to powering up the new Totally Integrated Power Module (TIPM). The TIPM receives vehicle configuration data from the CCN and Vehicle Identification Number (VIN) information from the PCM. If configuration information becomes lost or corrupted, the data can be obtained from DealerCONNECT

1. Position the TIPM into the engine compartment.
2. Connect each of the seven TIPM wire harness connectors.
3. Position the TIPM positive cable onto the mounting stud and install the retaining nut. Tighten the nut to 9 - 11 Nm (80 - 100 in. Lbs.).
4. Position the TIPM onto the mounting bracket and push down until the mounting clips are fully seated.
5. Open the TIPM cover and fully seat the Airbag fuse holder (two fuses in one yellow carrier) and the Ignition Off Draw (IOD) fuse.
6. Connect the battery negative cable.
7. Close the hood.
8. Insert the ignition key and turn it to the "RUN" position and wait twelve seconds. The TIPM will collect the necessary vehicle configuration and VIN data from the CCN and PCM at this time. After twelve seconds turn the ignition key to the "OFF" position and then back to the "ON" position and verify proper vehicle systems operation.

Clear all codes once the repair is completed. Check out the images (below). Let us know how it goes.

You are welcome, let me know how it goes.

Yep, it sounds like the TIPM is defective, can I ask if the TIPM is new or a used part?

I am not a big fan of a used TIPM because they have such a high failure rate. Also, for the brake warning light check the level of the brake fluid which can cause the brake warning light to come on. The fact that TIPM has changed, and it fixed most of the problems means we are getting closer. You might want to try just driving the car around to see if the TIPM can learn more and solve some of the remaining problems after a couple of drive cycles.