This happened to me in Windows 10. Internet connection was fine but couldn't use browsers. It turned out to be that my connection setting in Windows was set to private. See if this helps you: http://www.online-tech-tips.com/windows-8/change-from-public-to-private-network-in-windows-8/
Well you could hand it in as it is and hope they don't notice, but if they do notice, I highly doubt they will take it back. I guess it's worth a shot.