I am not able to print QuarkXpress 6.5 files which contain tiff or jpeg
files
from my Mac (running OS 10.3.9).
The error message I get in my print spooler is -536854447: Unable to send
print
file to printer (cancelled 0). Is there anything I can do to rectify this
problem?
Okay.
Never use CMYK jpgs for print. That's bad form.

But seriously, jpgs are for screen viewing only, not printing. It has to do with their data compression that makes them good for viewing, but printing exposes the blocky, jagged pixel substitutions that give it good screen res but not print res. Use only tifs or eps files and make sure they are cmyk and 300 dpi.
Then turn off all your extensions in quark (after you convert all your cmyk jpg files to tifs) and then turn them on one by one and see if you can print. I would start by turning off only the extensis suitcase plug in first and trying to print; but I have a feeling your cmyk jpgs are causing your printing errors.
Let me know how it goes.