I’m back with a multimeter!Here is what I can find in the circuit.
U1C is an oscillator. Touching the sensor should turn the output signal (GREEN) high to 5V.
View attachment 256777

0.670 V, with reading decreasing /dropping at about .001 V/second once I put the tester on. That’s actually for both test points one and two…Here are your first two voltage measurements.
Set your DMM to 20V DC range.
While the sensor board power is on, connect the black lead (negative) of the DMM to the GND point shown.
Connect the red lead (positive) of the DMM to the testpoints.
#1 - expect to see about +12V (not critical)
#2 - expect to see +5V (this one is important)
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Ok. The problem is not on the sensor board.0.670 V, with reading decreasing /dropping at about .001 V/second once I put the tester on. That’s actually for both test points one and two…
funny enough, once I go back to take the reading, it starts where it left off… like now I’m at .590 V and dropping

Before I get started, I just want to confirm that I only have supply white and black hooked up to the control box. I won't have the ON/OFF sensor plugged in. Photo exemplifying test-point #1.Connect only AC supply, black, white, green wires.
the two brown cables are an old extension cable… no ground. Shall I rather fish out a grounded one, or not necessary?You did not show what is connected to the two brown wires to the board.
Hopefully you have this connected to a grounded (GREEN) power cord with the correct connection to AC NEUTRAL (WHITE) and AC LINE (BLACK).
For this test only, set your DMM to 750V AC.
With one test lead connected to EARTH (green wire),
confirm that the SUPPLY WHITE screw terminal is at 0V
confirm that the SUPPLY BLACK screw terminal is at 120V AC.
Reset your DMM to 200V DC and proceed with the DC voltage measurements.

Diode that is pictured virtually with “NG” has 0.500 V when in diode mode with black on top and red on bottom. DMM reads “OL” when red on top and black on bottom.Looks like you have a blown component on that board.
Disconnect the board from AC power.
Set your DMM to diode setting.
Measure across the diode, one at a time, once with red to bar marking on the diode, again with the leads reversed (black on the bar).
What is the capacitance and voltage markings on the capacitor?
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both return 0.700 V, whereby both readings will drop steadily from that 0.700 at a rate of about 0.01 V/sec.There is no need to apologize. This is what diagnostic testing with a DMM is suppose to reveal.
(7) at 9.6V is looking good.
Now you have to go back and test the sensor as in post #43.
(1) 9.6V expected
(2) 5V expected