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It does sound like power shut down has been occuring.The computers will start to power down electronics that are not necessary to run the vehicle when low voltage occurs like the radio.Then you saw faults for other components acting up which is a result from low voltage.
You are on the right track here as it does sound like the battery is not receiving the charge to keep it maintained above 12 volts.Usually it is the voltage regulator that causes this fault intermittently acting up needing replaced.The other component is the battery current sensor which is at and part of the ground cable at the battery.If the voltage regulator does not resolve this issue here then the sensor needs replaced.
You can also have the fault codes checked in all computers with a scan tool or computer that will plug into your vehicle to read all computers to see what codes are set.Once this is done if any codes are set ( as there can be a code set for the current sensor at fault ) that code will need diagnosed to locate the issue.
Voltage regulator and battery current sensor on this particular year and model as the most common faults.
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