You can test a relay by taking a power cord and hooking it to the coil side of the relay. You should then have the other side closing and allowing power through.
But really you should be able to test this inside the unit anyway. Why are you trying to ohm it out. Test your voltage through the relay not the ohm rating. A relay is a powered switch in a sense, its either on or off according to whether the coil is energized.
Don't forget, you also have a thermostat and capacitor in there. Find where the voltage is going in but not out. That is most likely your problem.