Hello @Kim307, You have two listings, private room and entire house. Both are priced similarly. According to your listings, a single person can book the whole house for the same price as the private room. Don't think this is what you intended. Right?
You might want to have a rate for the entire house listed at 3 times more and then add in the extra charge per person after 3 guests.
Air BNB does not have per person nightly rate so it would be best to change that sentence in your listing. Your nightly rate is for the listing. You have kept your rate low which is good, but your extra guest charge is almost the same as your nightly rate. So many people travel as couples your listing appears deceptive to charge an extra charge when essentially there is little additional expense for the second guest.
Many people are used to hotels and most hotels do not add a per person charge and don't restrict registered guests from having visitors. Since Air BNB is different, then you need to make it clear that only registered guests are allow in the place. In addition to it being a rule you could also should reiterate it in a welcoming message.
When a guest breaks the rule and brings an unregistered guest into the space: Message that guest advising of the rule being broken, get information about the extra person and send a request for additional money. If the guest does not accept or cooperate, contact Air BNB and have the booking cancelled and the guest relocated. Give a thumbs down review. If guest accepts responsibility and pays, the review could be less harsh but still the fact that the rule was broken should be noted.