My apologies for the late response.
Looking over your settings I see that your firewall is limiting connections to specified services and applications and that FaceTime is not in your applications permissions list. You will need to add FaceTime into the permissions list of your firewall and allow all connections to it in order to obtain your required network connections.
If you are not familiar with making modifications to your firewall please consult the manufacturers usage information which should be readily available on their website for the exact details on adding applications and assigning them permissions.
If you are interested in much more specific information please review the following link as it should provide a more in depth description of resolving this issue and it even specifies the ports that FaceTime requires open for communication. http://support.apple.com/kb/HT4245