Had a problem like that, turned out to be the theft deterrent box not giving the starter relay a ground it needs.
At the theft deterrent box under the driver's side dash, there is a blue/orange trace wire that goes back to the starter relay, think it is pin 13, try unplugging the theft deterrent box and ground out that wire, see what happens, this is what I did to remedy my click, click, click and occasional turning over.
Mind you I did all of this after buying the rebuild kit from Jeff at Champion, rebuilding it and re-installing it to find it was still fucked up and turning over occasionally.
I wound up using another relay, used the original "start" signal to trigger another relay by the starter and haven't had a problem since, not once.
Pm me if you need some more help.
Wayne
Want to tell you that mine is a 91 model and my wires might be different colors as well as the theft ecu might have a different pin out.
Check you year with the online TEWD to verify your years wire colors and ecu pin out.
Not saying this will 100% work for you but it was my problem.
Wayne