Is there a website that posts schedules of past orbits of satellites,
so that I can identify two satellites I saw over Moab, Utah on May 3,
2002 between 9:45 p.m. and 10:30 p.m. MDT?

Dear milwaukee,

A website with comprehensive database for satellite identification
does indeed exist. It lists schedules for passing satellites visible
with bare eyes for a huge number of locations all over the world. You
can find this website, Heavens-Above.com, here:

http://www.heavens-above.com/

I have already done a bit on research using the data you provided.
This link will take you directly to the schedule listing satellites
that have passed the sky over Moab, Utah between 12:00pm, May 03 and
01:00am, May 04:

http://www.heavens-above.com/allsats.asp?lat=38.573&lng=-109.549&alt=0&loc=Moab&TZ=MST&Date=37380.0208333333&Mag=4.5

You will notice that quite a number of satellites have crossed the
zenith over Moab between 9:45pm and 10:30pm on that day, so you might
need the approximate course of the two satellites you spotted to
identify them.

Hope this was what you were looking for!
Regards,
scriptor-ga

This is exactly what I needed.  I've visited Heavens Above before, but
I'm not very good at navigating the site, so this was a timesaver for
me.