From someone who repairs OPE for a living, the chinese parts are NOT compatible with genuine Honda. Buy chinese if you wish, but good luck finding parts or service.
Alan is correct. There is a lever on the bottom of the control box to sync it. It has been many years since I had one so I don't recall the exact procedure. I think maybe it was after it stops, click the lever and let it rotate to the stop in the other direction and you should be good.
I can't say that I know of an "on-none-on" switch. What you might be referring to would be a SPDT or DPDT switch with center off position? Maybe some one else will chime in on this one.
I don't have the Icom but a Rigblaster will work with darn near anything. I use the nomic version. It is jumper selectable for whatever you want to hook it to. Hope this is helpful.