Can you look at the license and tell me what the date is that is beside the PRODUCTLEVEL?
Also, you can run the QVSDetector in the powertools to see if there is another QVS online.
This link will download the powertools
I had a QVS show as Off duty. It had been working quite nicely. I ran the QVSDetector after trying many different things. It showed that the IT team had "cloned" the server that had QlikView on it and had fired up the services. Therefore a duplicate server with the same licence was on the network. After shutting the Cloned services down, my production server started working again,