You are not being treated as a renter, you are being treated as an employee without recieving any of the benefits. A booth renter has certain basic rights and the first of those is the right to control your own clients. You have the right to have your own phone, schedule your own clients, advertize for your own clients, collect your own money and charge what you wish for your services and use whatever products you wish to perform your services. If the owner is saying that all clients belong to the salon, then you are an employee of the salon if you are doing salon clients. As a renter, you should not be using the salon phone. You should have your own phone or use your cell for your business. You should not be promoting or advertizing for the salon, you should be promoting yourself as an individual. All clients coming in because of your advertizing should be yours and yours alone.
A salon owner has the right to set a standard of dress for the salon, but they do not have the right to set a drees code or require that stylists wear specific dress.
The salon owner does have the right to limit or prohibit the sale of retail by booth renters, but they cannot require renters to sell their products or use certain products in the salon to perform their services.
Booth rental is all about the amount of control placed upon the stylist by the owner. This owner is controlling everything, which makes you an employee of the salon. I would suggest doing some research about booth rental and having a long conversation with the owner or look for another salon to rent.
Also, what kind of booth rental contract do you have and what are the specifics of the contract?