If player 1 is awarding a replay and 2 isn't, before going to the hard stuff, check the easy stuff first.

Make sure the wipers on the score reels associated with high score replays, 10000 and 1000, are making good contact, and the circuit boards are clean. Also check all the wires to those circuit boards, including the common wire. I couldn't get a replay on my Jacks Open even though everything was where it should be. It ended up being the common wire being loose.

If all that is good, then the player unit would be the culprit in all likelihood.