Is it legal for hotel personell to go in your room?

Generally, if you are using your hotel room in an ordinary way, then you have a limited right of privacy in the room. However, if the hotel believes that you are engaging in illegal acts or violating hotel rules, then hotel management has the right to enter and search your room without your permission. They will usually ask first but this not required if you refuse. If you told them that you had no pet but were in facts keeping a pet, then they can come into the room to verify if you had pets or not.