I'm guessing that you have a 7.2 BCGTC, which would be era appropriate.
Westerbeke has the owner's manual on line
here.
The
entire service manual available on-line
here.
On page 5 of the owners manual, you'll see the 3 shutdown switches that must be checked. Component testing is on page 50 of the service manual. The wiring diagram is on page 52 of the service manual.
The oil temperature switch does not cause an engine shutdown. The oil temperature switch energizes the choke solenoid until the oil temperature warms up a bit. Everyone gets the choke operating principles and issues wrong on this series. The choke closes by pressing preheat OR by the oil temperature switch until the running engine's oil warms up.
The easiest way to test the shutdown sensors is to short the terminals of each one, then start the engine. If thy engine doesn't continue to run, it's not the sensors, so either you installed the jumpers incorrectly, or relay K2 failed. I've assumed the overspeed board is okay since it's been replaced. If the engine runs, remove the jumpers one-by-one. When the engine shuts down, there's your bad sensor.
Should take no more than 15 minutes to troubleshoot the sensors and K2 relay. I'm guess K2 is bad.