Do your headlights come on? If so, turn them on, try to start. If they stay bright, it's the switch. If they dim, probably the starter. If they go out, the battery's dead. Maybe your alternator's not charging, but the dash light is not working.
I'll give the headlight thing a try, but pretty sure the ignition switch must be operational for them to come on (at least on the 87 model).
Battery shows 12.75 volts, so perfect voltage which steers me away from the alternator and the battery's definitely not dead.