Hello
Your problem is coming from a wrong 240V voltage connection
Your auto-on pcb do not work normally because it is under 240V and not under 110V and this is why your 820OHM resistor is burning
Replacing the original 110V relay by a 240V relay is a non sens and this proove to any good specialist that you don't have the conversion instruction of this unit .
Whatever your unit is, the conversion instructions should be made following factory instruction