Original User: mikem
Your ArcGIS Server is not publicly accessible. Thus, Explorer Online and the iOS application can't access the map service you reference in your web map. ArcGIS.com map viewer can see it because the web browser (when you are at your office) is running inside your firewall and is able to resolve the URL to the map service. If you were to try and access the same map from, for example, from home, you won't see the layer.
Thanks,
Mike