I am having problems connecting to the Random Efnet Server. I recieve the error message saying "Unable to resolve server." Can anyone offer any help?

Either you're using the wrong server name, or EFnet changed (I don't know). I do know that "/server irc.he.net" will connect you to EFnet, though. Connect via that server and ask there; they would know.

I tried that server but now I am recieving a "Unable to connect (Connection timed out)" error message. Do you think it may be the way I am configured?

It's definitely possible, though unlikely if you're able to connect to any other IRC server. Can you connect to any other IRC server?

If your problem is EFnet-specific, you might find help on their web forums: http://efnet.net/forums/

Otherwise, reply back and we'll get this straightened out.

Try irc.prison.net. It always works for me whereas many of them don't.