I am having trouble with my Z staying on. It runs, then sputters, then dies.

I am convinced it is plumbing related. Here is what I have unanswered so far:

• Fuel pump on Acc. does not stop humming, sometimes even slightly changes pitches. It hums for as long as I stay in Acc.
• Fuel Pressure Regulator makes a hissing noise (almost like when you turn on a sink), but there is no sign of a leak anywhere.
• Sparkplugs have nice white coating on the node (lean).
• Fuel filter is brand new.
• Fuel pressure test kit yielded zero psi on crank and during the 3 seconds it stays on. This makes me think that perhaps it only stays on and uses the fuel that was initially primed into the lines.

Here is what I want to know:

1. What is going on? (that is a given)
2. Should my fuel pump stay on for that long in Acc.?
3. How do I test if my fuel pump has a good ground?
4. Could my FPR be bad but not show symptoms like fuel leak etc?