The IC is probably OK. I see a problem with pin 7 (Power-on delay timer input) if it goes above +2V, the relay is enabled (if no DC or overcurrent detected). You have nothing at pin 7, so something else is holding it down.
Sony has the MCU pin 67 controlling that POWER_ON signal as the STANDBY switch. So the MCU thinks power is off and keeps Q1205 turned on.
If pin 2 (DC Detect input) goes over +/-0.6V, the IC goes into protect mode.
If pin 1 (Overcurrent Detect input) go over +0.7V, the IC goes into protect mode.
If pin 4 (AC mains Detect input) go under +3.5V, the IC goes into protect mode.