I did a bit of research last night on this particular machine, it appears it uses one of the early "lawn boy" motors as far as I can understand.
I would imagine with a old mower like that iot may not have a kill switch at all, like on the old victa 18's you just throttle it right back and it will stop.
To regain spark personally I would start by removing the flywheel and cleaning the points with either some very fine abrasive paper or a points file, just make surte you clean any dust out after you are done.
It looks to be a very simple ignition system with only 4 major parts, the coil, the magnet, the condenser and the points.
