Double-check your connections. Also I would do resistance checks on the old parts; if you cut the wires back far enough you should be able to find wire fresh enough to get a reading off of.
If you find that the old stator and trigger's ohmic values are within spec, then they really weren't at the root of the problem, just incidental to other components failing. Of course, tearing into it, you were given no choice but to replace them due to their poor condition.
I've never seen (4) coils fail simultaneously, so all other things being equal it's likely to be the switchbox.
Have also never seen new CDI parts be bad out-of-the-box, but to eliminate all possibilities it'd probably be a good idea to take resistance checks on the new stator and trigger as well.
Would hate to replace the switchbox only to find one of the other new parts bad!!!