I dont know if this would be the problem but on my 95 ls after I changed the cap and rotor my car would do the same thing. The starter wouldnt click or anything. I think I ended up taking it on and off and messing with it and finally i started. You could check that. Its just an idea though. Also does the fuel system pressurize? When you turn the key to the on position you should hear the fuel system pressurize for about 2 seconds. I think then 2 lights I think will click off(on the cluster).