I have the same problem i have been trying to get help with.  I submitted a service ticket and got this back:   

Subject: RE: <Removed for privacy>- Windows Live Hotmail 

Hello,
We have received a recent request to reactivate your account, however, when we checked we noticed that your account was already active.  Due to the account not being blocked we are closing this case as resolved.  If you need help with Outlook.com or other Microsoft products please visit http://answers.microsoft.com/en-us .

Sincerely,
Chenee
Online Safety Team


but the issue is not resolved.  I still cannot login and get the same account closed message