I've cleaned and repaired much dirtier games.
Be thankful it's just a few disconnected wires. Try fixing a ball bowler with 300 wire harnesses cut, or worse - a game with incorrectly rewired lamp wire in all the same color - brown
Fix one problem at a time. Too easy to get confused or bewildered.
Read this entire document. When you are done, read it again.
http://www.pinrepair.com/6803/