Hello, the normal thing is to use the fan when you are in the room as you did, but you used it too when you were visiting the city, almost all day, so it was connected continuously since you arrived until it was overheated and the engine broke, (you forgot to mention this). We thought that a broken fan was enough so we asked you to use the other that we gave you when you were in the room.
You delayed in your arrival time and I had to go, anyway if you would prefer that I explain it to you the next day I would not had a problem but you did not tell me anything about the jet-lagged, maybe you could have been more communicative in that aspect .
You can read in the rules of the house that please turn off the lights when you are not using them. If you "forget" to turn off the bathroom light and go to visit the city it is possible that it stays on all day, we also think that it does not make sense to leave the light of the room turn on in the ground floor while you are dining on the first floor. We prefer not to waste energy.