That second chip is just a NAND gate, it's basically being used to combine the video from the paddles and ball video outputs. Since everything else seems to be otherwise working, and you replaced the chips and caps, I would check continuity between those 2 chips to make sure that the signal is even getting there. Or check it with a logic probe compared to the other paddles pin.

Maybe reflow the solder as well, and on the jumper and anywhere else that carries that signal.