Yeah that would be a basic 1N4004.
Does the relay hum when you hit any 1000 score and not just the spinner? I was restoring a Juke Box and had many issues with it. I had to put it back in storage because of other things. However, I had a problem with the 1000's. Every time a new game was started, the first time the 1000's was enabled the relay in the backbox would stay engaged and would hum. Ultimately it turned out to be two things. The 1000's score switch(end of throw?) Can't remember what it's called. Also, because of that the "player score unit" had a burnt etch for player 1. Ultimately I had to replace the coil in the player one 1000's and bridge the etch on the Player Control Unit. Sorry that was long winded.