Arduino Lighthouse

Projects General Guidance
2

Delay isn't helping but this piece is a show stopping problem:

while (buttonPresses % 2 == 0) {
  for (servoPos = 0; servoPos <= 180; servoPos++) {
    servo.write(servoPos);
    delay(20);
  }
  for (servoPos = 180; servoPos >= 0; servoPos--) {
    servo.write(servoPos);
    delay(20);
  }
  break;
}

If buttonPresses %2 is 0, that loop will never terminate because there's nothing in there that will ever change buttonPresses. Try replacing the while with an if.

Edit: spelling
Edit two: Didn't notice the break statement. Weird thing to do but invalidates my analysis -- ignore.