I had a similar problem like this awhile ago, except on my computer. My Lap Top has never had the problem.
The box would come up telling me that I am not connected to the internet, while I was already on the internett

Try right clicking the network icon to view the available Wireless networks, and re connect to your network. Then click "Repair", and might have to restart your PC.
It worked with my Computer, hopefully it can work here too.
