In both cases, your app need to subscribe to Layer.InitializationFailed event http://help.arcgis.com/en/webapi/silverlight/apiref/ESRI.ArcGIS.Client~ESRI.ArcGIS.Client.Layer~InitializationFailed_EV.html so you may notify your users when the server is down.
Oh you're right in case#1, the layer has already initialized when you perform zoom so you can use NetworkInterface.GetIsNetworkAvailable() to check if network connection was dropped/
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