A: The problem you describe requires a little troubleshooting to determine the cause.
Please check the power supply voltage to the control unit with AC power connected, and then with back-up battery only.
Connect a volt meter across the + & - terminals on the back of the control unit and read the DC voltage:
1) With AC power cord connected, check for 15 volts DC
2) Disconnect the AC power cord, and check for 12 volts DC
3) Verify that all three fuses are OK.
Those steps will verify that the battery charger/power supply circuit is OK, and the problem is therefore inside the control unit.
Please advise if you want to send it back for repair, or continue troubleshooting to see which PC board needs to be replaced inside the control unit.