1997 Dies out restarts when cool
 

Car will run fine then randomly die out then restart when cooler. Has A slight hesitation from idle.
Replaced so Far. o2 sensor, Crank position sensor, Throttle position sensor, Fuel pump, Pcm (X2). Timing Belt/water pump. No changes
Actually got more hesitation with new Throttle Position Sensor.
Seemed to stumble on a turn once or twice,and brakes might have fluttered.
Vacuum issue?
No vacuum leaks- tested with starter spray at all junctions, New Pcm is exact year model ect. Might replace Fuel pump relay

If you would like to get a visual picture of power getting to the fuel pump you could connect a test lite to the inertia switch secure enough so you can drive your vehicle and glance at the light to see if it falters any.

If it does, the problem is before the inertia sw. ie. fuel pump relay,PCM or wiring.
If it shows no apparent change when the problem appears, problem can be after the inertia sw on the way to the fuel pump. There is something to keep in mind and that is if neither applies , it could be the pump itself of possibly a ground connection which the lite would not show since it is placed to only show power after the sw.

UpDate
 

Well I brought tih car to my local shop and the lead mechanic drove it around and ALAS the car died on him. he left the car and pretty sure it was starving for fuel S we pick the car up taday see what happens

is this a 2-door or a 4-door?

4 door, Replaced fuel pump........

Fixed
 

Ended up being a intermittent fuel pump. replaced no problems