Went to pull one of our straight trucks out of the shed today and it wouldn't start.  Traced down multiple electrical problems and a filthy air filter and it fired right up.  One of the problems was the wire to what I assume is the fuel shut off solenoid(first picture).  I am not a truck mechanic by any means, please don't laugh at me.  It went from dead in the water to firing right up when I cleaned the wires and terminals on the device in the last picture...I don't know what that component is?  It will fire right up and run for 20-30 seconds and then die.  If I trie to restart it immediately it will crank for a while before it fires again.  If I wait 5-10 seconds to restart it will fire right off.  This process is repeatable.  What should I be looking for next?  Bad electrical component getting hot?  Wire getting hot?  Thanks in advance fellas.

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