You might be able to download the full installers' manual off the web: this will probably give you a fault finding flowchart for which you won't need much more than a multimeter (if you are happy enough poking probes around live wiring).
You can often check the pump if there is a flowswitch comprising a diaphragm and a microswitch in a little clear plastic box: turn off the power, turn it on again watching these parts and you may be able to see a plunger move and operate the switch (which will click). There may be a similar unit sensing when you turn the hot tap on.