I would defiantly start with the capacitor, but one thing you will have to pay close attention to is if there is the integrity of the thru holes the capacitor solders into. The dielectric in a capacitor is corrosive and will destroy these contacts just as a leaking battery does but at a much slower rate. This corrosion can break the connection of your 12V which is your reference for the LM339s that control the column reference for the other four on the board.
Quoted from Nixpaints:Which one tho? The board has 5 lm339s. I’d prefer to start with the one(s) that run row 1 as that was the first fault
Getting the correct one can be a little tricky as there is no single LM339 dedicated to row 1. I wouldn't replace any of the LM339s without doing proper checks first, most will require a logic probe, but a lot can be done without one.
Start by Checking for 12V at pin 3 of all LM339s as well as Pin 1 of J2 and J4, and also check the reference voltage going to both of the comparators used to develop the column reference voltages.
pasted_image (resized).png
Quoted from pins4u:Get out your schematic and figure out which pin on the 16 opto board is your row 1.
pasted_image (resized).png