Tyre brand free selection ??

Hi, dear Leut… My question to you. I have on my Vectra 8.5×17 inch rims with Uniroyal Rainsport2 215-45-17 81W tires on it. Now I have noticed today that the rear tires have driven off because of the lowering inside. I would like to change them tomorrow. I am not happy with these tires either. They are too loud. As far as I know, you can pull the mark on it any way. Make identical tires on it per axle. Now my real question: Do I have to have the same brand dr on pull ? Or is it allowed me to pull every brand on it ? The size must stay the same !? Please for advice Thank you