Whenever loading a new world and choosing my Origin I don't have an skin fot it. How can I solve this problem?

Are you using the regular Minecraft launcher?
Are you logged into your Mojang account where you purchased Minecraft?
This usually happens when you are not logged in or you don't have an internet connection so the launcher can't authenticate your account. It shouldn't have anything to do with Origins. Please try removing the mod temporarily to see if the problem still persists - if it does, then that means it's not Origins fault. :D