So I looked at the account and do see the license so as long as you are logging into the Battle.net Desktop Application with the same email you are posting this from, you should have access.
I recommend logging out of the Blizzard app then logging back in. If the issue persists then try changing your password to force an account update. If that does not help, then:
Click support at the top of this page, click contact support and submit a ticket reporting the account issue so a blizzard agent can work with you to resolve the issue. (Account issues cannot be properly addressed via forums)