It depends which Server
The equivalent of Story Mode on World of Warcraft would be playing on a Roleplaying (RP) Server!
To play on a World of Warcraft private server you should firstly find your server, this can be done using the wow server website. To play on a particular server you must create an account and use the account signup page to register for that particular server. Once you sign up to the particular server you need to find the server address.Once you find the server address remember to save the file.
Quickly looking over the specs for the Sonoma Red, it would seem that it would play well with World of Warcraft....providing you have a half-descent internet connection.
Connecting to a private server would require an adapted realm list, containing the connection information for the private server. When running this, you cannot simultaneously use the official realm list, so you would have to swap the realm lists every time you wanted to go private-public and vice versa.
world of warcraft
That depends on the server. We can not help you if we do not know the server. I would even hesitate to help you even IF we knew the server. Suck it up, pay the 15 dollars a month, and play on the live servers.
Private servers are not affiliated with Blizzard or the World of Warcraft game so any questions regarding them would have to be directed at the host of the server or their representatives.
The login server might be down, or there might be a problem between your internet connection and Blizzard servers. Check the World of Warcraft forums to see if anyone else is having the problem. If when you are checking the forums, an error page comes up from Blizzard (not your browsers error page) stating that the site is down for maintenance, it would probably be a good indication they are working on the servers at the moment.
You can't mod world of warcraft and by mod im guessing you mean making new content you can create a private server and mod that by then there would be no players except for you + you'd have to be really good at programming. But if you ment warcraft 3 without the "world of" you can use the worldeditor that came with the game you can find it in the warcraft 3 folder for more help: http://world-editor-tutorials.thehelper.net/ Happy Modding =)
No, things such as gold are controlled server-side, and such a mod if it did exist would result in a quick ban on your account
Proxy Server would be my best guess, and nice playing in school XD
I doubt that if he had a WoW account he would run around telling everyone.