If the service account cannot run QlikView services, QVS cannot be started at all or the services will shut down and there will be no more QVS. The same happens when you use a service account with a password that expires. So it's probably something different.
Can you post the details of the Task that you configured to run on each successive day? Is the task producing an error on the second day, or is it simply refusing to run?
So the task in effect just hangs until killed by the distribution service?
Can you post a document log and a task log? Both can be found in the Distribution Service log directory, but creation of a document log must be enabled in Settings->Document Properties->General in your document-to-be-reloaded before restarting the task.
Also post a screenshot of your Task Reload configuration in QMC.
My feedback about services was a response to your third-party remark about group policies..