Your problem is that your board is not set to Free Play by default. The reason that you can't start a game because you haven't entered any credits. I think that there's a setting for free browse when you are set for coins that would let you move through the menus. To test this out ground your player 1 coin wire to add a credit. Then you will be able to use your controls.
To set Free Play you need a button "C" which would be Player 1 button 3. There's no way around it besides just manually grounding that wire during configuration. But your best bet is to just hide it inside of your cabinet.