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Throw your solenoid away and buy a new one... if... You have cleaned your cables and made sure that you have a good ground between the battery and the engine block.
Macsred

The starter is not your problem. Replace your solenoid first then if that doesn't do it replace your ignition switch...
Macsred

Good answers from DON... I cannot add to that... Safety Switches I would think... (Blade, Seat, Transmission?) all are wired in line..
Macsred

No power to the plugs can be caused by several things. Dead coil, not likely both would go at the same time.. . Look for wiring that might be unplugged or partially disconnected. If that fails. Look...

I just finished installing a new Briggs fuel pump on my 24 horse that was doing the same thing.. Past history of mine goes like this. Operating for about 45 minutes the engine just died. I go inside...