Peter,
Thanks for the observation. I'd noticed a similar issue with Freddie, the 6HP Mercury - also, there's a little red LED near to the kill cord that seems to flash as you pull the starter cord if the kill cord hasn't been re-seated properly. An expert on these things tells me that the easiest way to avoid these problems is to leave the kill cord in place and stop the engine by pressing on the button on top of the kill cord. This breaks (or makes, whatever) the contact and, because the kill cord has not been taken out, the "go" state is restored as soon as you take your thumb off the button.
I'm also intrigued by your gear lever extension - did you make it yourself, or is it an official accessory?
Rob J