No spark, and all that makes the spark is the magneto/coil and the magnet in the flywheel. On the coil is a single kill wire, unplug the kill wire and check for spark. If it has spark, trace the kill wire back to the kill switch, the kill circuit is shorting out the spark.
Coil has to be grounded to kill the spark. so I would assume the switch would be N/O in run position.
If no spark, the coil is likley bad.
I don't think so , but i don't have parts or service manual.
Parts shows to have igniter and coil! See attached file above for spares/