Hard to tell much from the screenshots. One thing I can see is that the CSS for Connections is not being loaded maybe the JS too which would cause the JS for the template to fail. Just a guess at this point though.
First, lets try this… make sure both Connections and cMap are activated on the subsite. Do not network activate them. cMap might be fine network activated, but Connections definitely needs activated on each subsite you plan to use it on.
As far as the license. I think there may have been an error in generating your support keys. I just resent the sale confirmation that would have fresh keys. Use the cMap key to activate cMap. That should fix that issue.
As far as login, if you want to send that, send it via the Contact link at the bottom of the page. Please paste a link to this forum thread so I can relate the two. Thanks!