Intermittant starting

I agree on the Neutral Safety Switch, however it could also be as easy as a linkage adjustment down at the transmission. If you are in a jamb and cant tinker with it, looking at the starter relay from standing AT the DRIVERS fender looking DOWN. It will be the lowest, left-hand terminal on the starter relay. If you use a jumper ground wire to that terminal, you just bypassed the Neutral Safety Switch and it sounds like it should run just fine.