Both connections to the contactor show 120v even when the start switch is not engaged; can that be right?
Both heaters are fine so the problem lies elsewhere.Your overload heater is burned up on the right hand side of the contactor.
No power will flow through it .
You momentarily could test this by removing and jumping the overload heater terminals.
If it runs after the test, you know the OL is problem
It's wired through the rotary switch; I'm trying to puzzle out the wiring diagram.It sounds like the problem might be with the "power lever" does that contact a switch?
The wiring diagram for the motor and starter show a Wye figure; might I need a delta-Wye transformer for that?Have you checked the voltage to the coil? If the it has voltage then the contactor is bad, if not then it is a switch issue and and complicated to repair. Phase perfect gives symmetrical output, but it does pass through the L1 and L2 phases which I would connect to the circuit that goes to the coil.