When entering scores for a Draw it's a couple extra clicks to jump back and forth between games. What do you think about adding a list of quick links to the score entry page so that it's easy jump between the games. I have attached a quickly whipped up prototype.

In case it's not obvious, the small sidebar would have the list of links to games from the same draw as the game currently being edited. Clicking a link replaces the score entry box with the game clicked.

The obvious challenge being that game information could be lost if the user does not click 'Save' before jumping to another game. Hopefully, the UI notification will alert them to it.