Just to verify things,disconnect the crankcase breather tube at the throttle body,spray carb cleaner or starting fluid into that breather tube port on the throttle body,reconnect tube then try to start it.If it starts & runs for a few seconds then dies,its a no fuel problem.If it doesnt start at all,its a no spark problem.
The pip sensor won't affect the fuel pump on the initial priming of the fuel rail,but when the pump stops running (after the 2-5 second prime)the EEC will look at the pip sensor pulse to make sure the engine is rotating before it energizes the fuel pump again.The diagram below explains what happens when you turn the key on.The first thing I would do is take the inertia switch out of the picture & then see if the fuel pump primes.Just disconnect the wiring harness from it,use a short jumper wire or paper clip bent into a u shape & bridge the two terminals together on the harness connecter.In otherwords,put one end of the jumper wire into a harness terminal then put the other end into the other terminal, then see if the fuel pump primes.If it does,the inertia switch is bad.If it doesn't,the switch is good.Next thing I would check is the EEC relay.Disconnect the harness from one of the injectors,turn the key on,probe the red wire terminal with the (+) voltmeter probe & the (-)probe to ground,your meter should read 12 volts or battery voltage.If it does,that indicates the EEC is supplying voltage to the injectors, so therefore that indicates the EEC relay is working.If the injector harness shows low or no voltage, there's an issue with the EEC relay,relay wiring or a fusible link is suspect at the starter relay.If the EEC relay is working OK,check the fuel pump relay next.The FP relay is energized by the EEC relay.If you remove the relay from the wiring harness & test the harness terminals,one terminal should be "always hot" & another terminal should only be hot when the key is on.If you don't get battery voltage on one of the terminals when you turn the key on,the EEC relay is suspect or the wiring between it & the fuel pump relay is suspect.Now plug the fuel pump relay back into its wiring harness.Disconnect the wiring harness at the fuel pump,turn the key on,measure voltage at the harness.If battery voltage is present,the fuel pump relay is good.If no voltage is present,the fuel pump relay is bad.If everything,up to the fuel pump is good,the fuel pump is bad.The following link is the EFI No Start thread.It will help you find the cause for your no start condition.
BTW-you car doesn't have any idle surging,rolling idle,lean codes or rich running conditions does it??If so,its most likely due to the vented oil cap you're using.Any air that doesn't get measured by the MAF sensor is considered unmetered air(vacuum leak)& the vented oil cap falls under this category.
How to Solve an EFI No Start