Unchecking the Email from content to sync of the Live account seems to work. Now I only have the Gmail and live tile notification still works. I will try to add other accounts and see how the Mail manages the default account when opening the app. If it's impossible to manage multiple accounts, I...
Renaming the accounts does not work for me. If it is as you say it should already be sorted with their default names, Gmail and Live. Can you post screenshots?
I'm new to windows 8.1 and currently setting up my new Surface Pro 3. I'm trying to use metro apps as much as possible on this machine (I got a Windows 7 laptop for other desktop apps).
As for Mail metro app, is it possible to set a default account to load when opening the application...