Unplugging and plugging back in the injector is a mute point, it's the same as turning off
the key, just cuts power.
You might also be victim of the dreaded ECU Capacitor problem, you have the right year
for that, but that would require removing the ECM, and the cover to inspect the circuit
board for corroded traces from the capacitor leaking.
A leaking injector would not create a cold start problem, the engine can use the fuel quite
easily as part of the cold start mixture, however it would create a hot start issue due to a
rich mixture that won't light off in the hot engine
You might need a friend to listen at the gas tank filler opening for the fuel pump running,
it can be hard to hear, but if it's running and it fails to start, you have another issue.
I had an old Volvo that had a bad/flaky fuel pump, once it was running it was fine, it was
just the starting that was a PITA, hit the key, hit the pump and hit the key again to start
before the relay stopped the pump.
I finally parked it for good and sold it for junk to Pic-a-Part
Wild