Hello. I'm Bobby
Could be you relay or switch, Your starter solenoid is ok because your able to get the engine to crank over, I would start with the switch. Take a test light and see if your getting current out of one of the terimals when your holding it in the crank position.
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I agree with you , there should be continunity in one of the positions on the foot pedal. I think you headed in the correct direction with the foot switch.