Skutt PK kilns and the KM-1 wall mount controllers both use a small signal relay to drive their main relays/contactors.
The small red wires lead from the computer control board to the pilot relay and then a second set of wires lead to the main relay/contactor.
If you are testing your kiln and do not have voltage at the element pigtails with the kiln running, either the main relay/contactor could be bad or the small pilot relay could be bad.