That has the butteryfly pack, Have you checked your kill switch? Put hose on it and remove the cowling. There is a black and yellow wire comming off the pack. Remove it and see if it has spark. If so it is something in the harness, switch,or kill switch. If not it needs to be tested further.
Yes,
they can be tested. It takes a special tool to measure the voltage from the stator,timer base, and the output of the pack.