My 1995 EB has been hard to start for a few months, especially when it is
cold in the mornings, but it always has started.  After it sat for a week
without running, it will not start.
The fuel filter was old so I replaced that and verified that it is getting
fuel.  (The old filter was clogged.  I could not get air through it.)

The battery is charged and the starter is spinning the engine rapidily.
I verified that that plugs are getting power, by removing a plug wire near
the distributer and watching it spark.

I tried to run the Key On Engine Off test with my ECC scanner tool, but
nothing happened.  The scanner light just stayed on.  Any ideas on what
this means?
Also, when I turn the key on I hear a sound from the rear of the car,
probably the fuel pump.  It does not stop and I can't recall this being
the case before.  Does this sound like a problem also?
Where should I start?

(No flames for this please :-), but the plugs are probably the original
ones.  Should I just start by replacing the plugs and possibly the wires?