Correct - there should be no connection between the output pin and the JP1 ground pin. So *that* must be the short circuit we've been looking for.
Just to be sure we're on the same page here, this is the test:
* Remove Q4D entirely (nothing is in this slot in the circuit board now)
* Disconnect the output device from JP5 pin 16 (nothing is connected to this pin now)
* Disconnect all power plugs (JP1 and JP4)
* Using multimeter, measure continuity between JP5 pin 16 and JP1 ground pin -> CONTINUITY/zero ohms
Is that right?
If so, then you have a short somewhere between the output 16 pin and the JP1 ground pin.
One thing I'll add is that the JP1 ground pin is connected to the "signal ground plane", which is a big contiguous copper area that covers most of the unoccupied area of the board on the bottom side. So check carefully around the JP5 pin 16 pad on the bottom. Look for any sign that the solder on the pad is bridged to the "background" copper area surrounding the pin pad. It's even possible that the board has a manufacturing defect that left a small connection in the copper itself.
If you do confirm the continuity test as described above, so you're pretty sure that there really is an unwanted short circuit here, you might try taking an X-Acto knife and carefully carving out a ring around the JP5-16 pin pad area on the bottom side of the board to try to cut it off from the surrounding copper. Whether it's some leaked solder or some remnant copper from the manufacturing process, that might break the short and get it working properly.
(The trace you do want to leave intact from pin 16 to Q4D is on the top of the board, so it should be pretty safe to carve out a ring on the bottom side to try to isolate the pad from the ground plane.)
I have done the test that you mention and there is continuity.
I have done some carving around the jp5-16 pin and there is still continuity. https://photos.app.goo.gl/GyyePPjEfcEqdKza8
I dont know if I havent carved deep enough or the problem lies in another place.




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