Ahh. OK that's normal. Start is strictly for cranking and once key comes back to run, it'll come back on. It's possible it's a fuse... but I'm quite sure this particular system (starter) has no fuse, only fusible link. I don't think that's your problem either, even tho I'm not there. On TOP of the steering column is your ignition switch... way under dash, midway to brake pedal. There is a rod that shifts which position the ignition switch is, and it's directly connected to the tumbler tip. What I suggest is feel for how this rod moves... which I think is down to start... each click i's the different position, with the last one being spring loaded for cranking. See if you can "help" this rod go a little further.
Should start or at least crank.