Yard Machine Riding Mower Won't Start With the Switch?

I have a twin cylinder Yard Machine rider mower, it got to where it would not start with the key. I replaced the ignition switch and the solenoid switch under the seat and it still won't start with the switch. I can jump directly from the positive on the battery to the starter post and it will start. What is my problem? Could it be the safety switches, they seem to be making up when pressed in? What's a good way to test those switches?

By marty from Conway, AR