Strange that it just doesnt want to connect. It has to be the router. Doubt that windows or anything is bad on that side of things. My brother has had two Netgear Wireless routers just mysteriously stop for no good reason. Try a few things.
1.Reset the Linksys Router from the little button on back, so that completely resets everything to default.
2.Once its reset, try to http into the router, usually login and password is admin and password is admin, depending on the router, just look under it.

3.If you cannot even sign into the router itself, and still will not hand out a IP address, sorry to say there is a good chance your router just crapped.
I want to know the model number too. I fixed up a Linksys router that happened to have a crappy firmware which would crap it out shortly after 5 minutes, and reverting back to an old firmware fixed it right back up.
Hope this helps! :-)