from https://repairpal.com/obd-ii-code-p0562
What Does P0562 Code Mean?
OBD-II Code P0562 is defined as a System Voltage Low
The purpose of the Charging System is to maintain an ideal vehicle voltage level, which is usually 14.1 - 14.4 volts DC when the vehicle is idling with the lights off. When the code P0562 is set in the Powertrain Computer, it means that the Powertrain Computer or PCM is seeing a lower than requested vehicle voltage. The code will set when the voltage level goes below 10.0 volts for more than 60 seconds while the engine is running.
there is info on what could cause it and symptoms on the link above.
Sounds like a bad battery or alt to me. have they been tested?