The owner's manual I have for our 8500 II might be on-line but all I can find is for the IV. I didn't check to see if it is similar.
Yes, check inside the thermostat. The off switch matters! However if the furnace was working and then didn't, it could be several things. A fuse, a circuit breaker, the blower relay, etc.
I can't tell which thing is which, but some of the things don't come on till others do so I don't think a meter can tell much if the voltages are right unless it is running? I don't know.
The thermostat gets the blower relay going after a time delay up to a minute, and that gets the sail switch to close once there is enough blow, and that energizes the DSI Board, which has a 20 second delay for a furnace purge, then the gas valve opens, and an ignition spark. If no flame after a few seconds of sparking, the DSI Board shuts off the gas valve. There is a limit switch to shut it down if it all gets too hot --like from an air circulation restriction (like wasp nests in the exhaust?).