School me on balancing an engine.

You do need to have the harmonic damper and the flywheel or flexplate balanced! I balanced many engines in my machinist career. I would get the crank balanced perfectly with just the bobweights on it (assuming it's internally balanced), then put the harmonic damper and flywheel or flexplate on and every time, it would throw the whole assembly out of balance. If it's a 4 speed, you add the clutch cover and balance that after the flywheel is done. No need to do the disc, as it always stop in a different place. No way to index it.