Pull up your back seat, there is a hole there where you will see the top of the pump.
Hi, I've just read through this post and I hate to see you waste a lot of time.
Do you have a return style fuel system or returnless?
If return style you will look for about 40-45psi at idle and 50-55psi WOT.
Returnless will vary the pressure according to engine demand so there is no easy way to determine.
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Back to your problem. It is probably an ignition system problem. The misfire or stuttering problem at light throttle and low rpms that clears up by high rpm and full throttle is CLASSIC symptom.
Here is how it works on the Primary side:
12v applied to the coil pack primary side (3 coils), then from the coil pack primary side directly to the PCM to three transistors, then from those three transistors directly to ground.
The computer switches a transistor on and off when it is ready to fire the coil. Any bad ground, bad transistor, corroded wires, or bad primary coil pack will cause this circuit to work poorly.
There are grounds for the pcm right on the passenger side fender. You will want to pull that off and clean it.
Possible your PCM could also have issues since it is an integral part of the ignition coil circuit.
Now the secondary side of the coil is the from the plug wire connector on one side of the coil, out the wire to one spark plug, through the plug electrode to the block, through the block to the other plug electrode into the plug and back up the wire to the coil pack. This completes the circuit.
So two plugs, two wires on every coil pack are required to be in good shape.
Now coil, plug, and plug wire resistance all play a role. If they are off then the spark will not build to the correct level.
If back on the primary side the resistance is off too much then the same thing will happen.
Generally the stuttering is caused from noise on the circuit and combined with the oversaturation of the coils at low rpm.
I don't want to explain this because it will take up too much time, but suffice it to say that the longer 12v is applied to the coil then the the more noise can be developed. At low rpm the time between ignition points is longer so the coil remains saturated (charged) the whole time until the next point to fire comes up. As the rpms get faster the time between coil firing gets shorter and the coil no longer gets as much time to oversaturate. The spark signal gets cleaner. Combine this issue with improper resistance in the secondary circuit (plugs, wires) and you will have major issues.
If there is a lot of noise on the coil circuit it can actually fire the plugs multiple times at the wrong time, hence the stuttering issue.
So what do you do?
1.) Change to correct plug wires, plugs (i.e. not some single copper core plug wire at least until you find the problem.
2.) Check the coil resistance or change the coil pack
3.) Clean all your connectors on the coil packs, on the PCM grounds.
4.) Last, swap PCMs with someone else who has the same car.