When I press the villager option it doesn't show my skin. I use Minecraft Launcher.

i have the same fkng problem man how we can fix that i want to play with my own skins

Does it happen without any other mods?

Well, forgot to mention that this happens to me when I'm playing on a cracked server, like Aternos, and I can't see anyone's else skin. This may have nothing to do with the mod and occurs due to the type of the server.

Player skins are provided by Mojang for accounts only, cracked clients (or disabling online mode) thus cannot have skins. Mods adding skins for cracked accounts are against the EULA.