Hi braincramp,
Welcome! If you haven't done so already, be sure to read all the info at pinrepair.com as linked above. It really is the Bible for this hobby.
With respect to your Boomerang situation, I'm not sure we have all the info we need. Let's go through more slowly:
- You plug the machine in. There are credits on it. You press the start button. All score reels reset to zero, and the game serves a ball into the shooter lane. All correct so far?
- You play some number of balls (5-15?) before it "quits." So to me that means, you can play a complete 5-ball game, including Game Over, and then you press the start button to start a new game. Is that correct? Or is the game serving you balls continuously without ever reaching Game Over?
- When it "quits," is it in the middle of a game? Does it always happen when the ball hits something specific on the playfield? Is it possible that it quits when the game reaches a certain score? Or is it always when the ball drains?
- You said that once it quits, nothing short of unplugging it and walking away for a day will give you any results. What happens if you unplug it and then plug it in again right away, and try to press the start button? Are the playfield lights still out? Any other action? Any other sound?
- You said that you hear a sound when you press the start button after it "quits," as though it wants to start but can't. Can you be more specific? Is this a buzzing sound, or a clicking, or what? Is the score motor running?
- Did you inspect or replace the fuseholders, as wizardblom rightly suggested?
- Also, take a look at the coils for the Game Over relay, and the Lock or Hold relay (not sure what it will be called on this game). Are there any coils that have toasty brown wrappers? It could be a sign of a burned and weak coil.
(Digression: I have a Bally game that used to shut down completely at 3000 points. I couldn't figure it out, until I realized that the free game award was set at 3000, which sent a pulse to the knocker. The knocker coil was fried, and drew so much power that it caused the Hold relay (also fried) to let go, which shut the whole thing off. So instead of happy hooray free game, the machine would go black. Good times.)
If you can answer some or all of the above, maybe we can get your ugly friend back up and boomeranging again.