When I choose a custom skin, it only appears as the same skin I had on

I click on the hanger icon, click on "Choose New Skin" for a custom skin, and I click the skin I would like on. It goes onto say "Choose the correct model type for your skin" but it appears as the same skin I just had on. The same thing happens when I'm in a game and try to change my skin. I have multiple friends that tell me they have the same problem. The only way I have figured out how to change the skin is to pick the custom skin I want, click the correct model, confirm the new custom skin (still the same skin I had on before), quit the game, and then reopen Minecraft. The custom skin I selected before closing the game then appears. Even after closing Minecraft though, it still doesn't work. I'm not sure if this is a bug or not but I hope it can be fixed soon, thank you.