1. The specs say you have a forced air furnace with ducted in-floor heating. Are your propane bottles open? Have you checked your thermostat? From the limited pictures I can find of your unit, it looks like the thermostat might be by your TV. It looks similar to mine. Switch it via the bottom button until the green light is on heat, then adjust the temperature up.
2. Condensation will eventually go away if you have the blinds open, but you can wipe it off with a towel if it bugs you. We actually use our shower squeegee to remove it.
3. I have a tankless, so I can't answer that for you.
4. Your dog is smart.
5. DD and DW don't get out of bed until I crank the thermostat up. See 1.
6. That's why I have a tankless water heater.
Good luck!