have you looked at this article on apple's website:
http://support.apple.com/kb/TS3694#error3014
specifically the part:
Errors 3000-3999 (3002, 3004, 3013, 3014, 3018, 3164, 3194, and so on): Error codes in the 3000 range generally mean that iTunes cannot contact the gs.apple.com server on ports 80 or 443. This may be because out-of-date or incorrectly configured security or firewall software is interfering, an old version of iTunes is installed, an entry in your hosts file redirecting requests to gs.apple.com (see error 1004 above), or because of your Internet proxy settings. If you are using a proxy, try without using one or with a known-good network. If that does not resolve the issue, follow iTunes for Windows: Troubleshooting security software issues. Error 3014 may indicate that you need to free up more disk space on the computer before trying to restore again. Error 3194 most likely indicates you do not have the latest version of iTunes installed Update to the latest version of iTunes.
hope that helps