I'm fairly sure that that's a problem with the torishop, because I get that as well, but my textures are showing up in-game without a problem.
All of the links apparently point to an account that doesn't exist. I think someone should poke veb, because it looks like he [or one of the other developers] left in a placeholder and forgot to change it or something. If you change the /PL/ in the address to your username, it should work.
This should show MasaPL's current head in miniature. It shows to the proper image for his head in the texture section.
This one should show my left thigh texture at full size. You can play around with the URLs and take a look at other people's textures too.
If the part shows up with that link, properly modified, the texture IS on the server, and should show up in game eventually.