</font><font color="blue" class="small">( My BX22 will not start as if it is not in neutral, but it is.
Is there another switch ? )</font>
The only problem I have had with my BX23 was the neutral switch. I shortwired it just to make sure it was "the one" causing problems. Started right up afterwards. I went straight for this solution as I actually heard it break when moving the lever.
You might try to measure power to and from it with ignition on / when key is turned to a starting position. If only power in one cable, then problem found. If no power, then problem before this switch. Think it's the pto switch before the neutral switch?