How do I rename an Organization?
You can change the Organization name by selecting the edit (pencil) button from the Account Organizations page. As long as you don't change the key, any new agents registering with that same key will get grouped under the Organization. Think of the Organization name as the display name. It's only used to show to users, the key is what the system uses to find the correct organization for the agent.
Complete details for changing the name can be found here.