Re: settings saved on this computer for the network dont match requirements of the ne
Sounds like the wireless connection has been configured incorrectly on the laptop,
Try going into the network and sharing centre, delete the current entry for your wireless network (as long as you're confident you know the passkey or can change it).
Search again for wireless networks, re-select your network and ensure you use the correct security setting (WEP/WPA etc).
If there is still no luck with this I would try removing the security settings from your router (unsecured wireless), test you can at least connect to your router and if successful re-implement the security method you want to use and configure the wireless connection again.