Not firm enough. Too wishy washy. I would REALLY not allow more than 8. And if you do, it is an additional $50 per person per night.
NO parties or events allowed. This is a family home in a quiet residential neighborhood. Curfew hour is 10pm. This is a neighborhood curfew hour and must be respected. Please respect the neighbors, two of whom are law enforcement officials. Complaint calls about noise will result in immediate eviction of your group from the home. Any citations or fines that might occur will be charged to the guest. Again, this is not a party home. NOise and disruptions of any kind will not be tolerated.
ONLY your approved and registered guests allowed on the property or in the home. Exterior security cameras are provided for your your safety and convenience.
HOme must be respected in every way. Please clean up after yourself, including stove, barbecue and dishes. Please remove all trash from the property upon check out.
This is the tone I would honestly take. It sounds hardline, but you have to.
EDIT.. @azreala, @cabinhost, @Anastasia_Stal and others with full home rentals that attract large groups may want to weigh in on these suggestions.