Yes , they have rights but should inform you before entering in your apartment .
I think so, Yes. I agree with the previous comments. The owner of the house has the right to the key, but he has no right to enter the house without your permission if you rent it. I rented a furnished apartment here https://www.farawayhome.com/. I forgot my house keys. My master gave me a duplicate key. I'm glad he had spare clubs. It is very convenient!