You need to buy an item called a "Certificate of Ownership", which is made by characters with the Inscription trade skill. Then you can change the name. That is the only way, other than taming and leveling a new pet of the same type but giving it a different name.
Note that after you rename a pet with the Certificate, you cannot do it again for a while.
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To change your pets name, you go into the pet apartment click on the pet you want to change and then there should be a button that says rename so click on it and change the name.
No, you can not buy my world of warcraft account, i have put too much time and money into it.
Yes, you use your Battle.net account to log into World of Warcraft.
World of Warcraft is listed as compatible with Windows 7, and should work fine.
You can download the game client from the link below. It is the official world of warcraft site.