I think 13.10 is Saucy Salamander, but your output says "raring" (for Raring Ringtail) which is 13.04. Both 13.10 and 13.04 have reached end-of-life however, see: https://wiki.ubuntu.com/Releases.
Discontinued (end of life) versions are removed from the main repositories, and that is why you get the errors. I would recommend that you upgrade to a supported version that receives security updates. If you cannot do that, then you can edit /etc/apt/sources.list to use http://old-releases.ubuntu.com instead. I don't know if the "extras" repository is available though.