@ Sonny thanks that does help… confirms the dns suffix and NetBIOS settings.
@ Laure, the remaining things I would try… in no special order until 4;
1. Remove the Bluetooth network connection from the laptop.
2. Remove any software that monitors the network i.e. I assume this laptop comes with an anti-virus so remove whatever it is and install Avast or Avg instead… this just needs to be a temp thing to remove it as a possible cause of the block.
3. Beg, borrow or steel another laptop from outside the current network and just see if that one will surf the net from your place… Yes, confirms the issues are on this laptop and not a fault in the account or your router.
4. Finally I'd Re-install Windows (best) or roll it back to factory (almost as good)... depending on what kind of backup system you have in place.