Hello @Jonathan338
If I were to rent the whole place (currently I am listing mine for weekends, but so far nobody has booked it to my relief), I would answer "no" to all the three questions.
I had to remove my personal stuff both from one room rented on a permanent basis, bathroom and kitchen, even if I rent just a room - I had evidence of guests taking my things, which I hate.
I would not leave my dear cat at the mercy of guests - he loves rambling around too, so he lives somewhere else (at my delisted place).
Up to you, but honestly, try to communicate with the guests as much as possible to figure out what kind of people they are. Read this forum here about damages done by guests - in most cases those incidents took place in entire house listings.
// "The only person you can trust is yourself"