I have a good battery, and sparks on three cylinders but nothing on number two. Why should I take starter apart, it's spinning good?
That's so we can eliminate the Battery/starter (both need to be good to ensure the flywheel spins fast enough to produce enough electricity to produce spark.
Aside from that; have all plugs removed & grounded!
Crank the engine and check the voltage (AC) to the coil of #2
should be around 180 AC volts or more. if good it could be a bad coil (not likely)
if low/no voltage check the wire from the coil to switch-box & check power at that terminal on the switch-box.
if low/now voltage; it's either the switch-box (hope not) OR the Trigger-wires are not hooked up right (as you just replaced it)
I would check all wiring throughout the entire motor for broken/corroded/exposed wires (very common for that age)
Faulty wiring can cause misdiagnoses & send you on a wild goose chase