Thank you very much steves for the clarification. So, after Reset of the Belkin Screencast i have still the 'no adapter detected' issue 
Now, i remember, at the beginning of my various trials, to have a network name (a specific one from the Belkin device) appearing in addition to my WiFi SSID. I have deactivated this one (maybe a big mistake!) and i don't know what to do to reactivate (it is not anymore in the network adapters/device list...)
If anyone can help me it will be great