Tom, Here is my suggestion on troubleshooting this: Looking at the diagram for the PMDX-126 board section 7.2 it looks like all the PMDX-126 board is providing is relay contacts, so you will not get any voltage from any terminals unless you supply the power (as in the diagram). This does not explain your test that shows continuity across NO and COM and also NC and COM regardless of the relay state. I assume you are testing the continuity with Nothing connected to the terminals. If not be sure to disconnect any wires connected to J10 then test Continuity. With ALL power removed from the board you should be able to see Continuity between NC and COM but NOT between NO and COM.
I would recomend
1. Remove any wires at all from J10
2. Remove all power from the PMDX-126
3. Test continuity
3.1 Expected result: Continuity between NC and COM
3.2 Expected result: NO Continuity between NO and COM
3.3 if you do NOT get the expected results then either you continuity tester is not working or the relay/PMDX-126 has failed is some way
4. If successful the apply power to the PMDX-126 and use MACH three to Toggle the Relay while testing Continuity
4.1 Expected result: Alternating between Continuity and NO Continuity as you toggle the relay with MACH3
4.2 Expected result: Alternating between Continuity and NO Continuity as you toggle the relay with MACH3
4.3 If you do NOT get the expected results but you did in test 3, then MACH 3 is not correctly controlling the relay regardless of what the LED is telling you. If the LED is toggling but test 4 fails then likely a PMDX-126 board problem.
5. If successful then wire up the pump per the diagram in section 7.2 Be sure to take advantage of the MOV as this will extend relay life considerably.