Two successive burned coils to me suggests that they are energised far longer than they need to be, perhaps stuck on. I'd look at the schematic to see what switches/contacts energise the burned coil, find and check them first, before fitting the new coil. Suspecting it's stuck 'on'.
So far I haven't had to delve into the deep dark 435 state machine. But I understand state machines and logic, so if there's anything in the schematic or manual you get stuck with I'll try to help.
OK, I get the #2 microswitch, looks similar on the 435.