Hi,
A quick update on this, I should be able to put out a fix for this within a few days, possibly tomorrow. The problem is only with the management api not the reporting api so the difficulty is in automatically looking up your google analytics accounts. I can solve it quickly by just changing it so that you manually enter the profile id instead of looking it up from the management api.
For a single site installation you can work around this problem now by simply putting the needed credentials into user.config like this:
<add key="stsAnalytics:AnalyticsEmail" value="yorgooglemail@gmail.com" />
<add key="stsAnalytics:AnalyticsPassword" value="yourpassword" />
<add key="stsAnalytics:AnalyticsProfileId" value="ga:xxxxxxx" />
but for multi site installations we need to store separate info for each site and I will make it possible to manually enter that in the web page so it can be stored separately for each site in the database.
Note that changes in user.config are not detected automatically so if you put the info there you need to touch web.config to make it reload settings.
I'll post again as soon as the update is available. For now I've removed the product from the store so that no-one else purchases it until we have the fix ready.
Best,
Joe