thank you all 🙂
At the end I unscrew the dongle, connected to a laptop via USB and reset all its settings (as per KB).
Now it works as it should - I can see it is broadcasting its own wifi (access point), I can see it on my broadband router, can connect to it with a browser, and of course updated its wifi settings to use a different SSID 🙂
BTW - after all this I rechecked the list of devices on my network that I gathered previously, and I was able to see the dongle there (its IP and MAC)... but the network scanner that I used before did not show me any ports open there (especially 80), so I dont know was happend before. Now it works like a charm 🙂