A small bit of advice: a 2GB swap partition is way too big--you are just wasting hard drive space. I know that the old rule says 2x RAM, but that rule dates back to the days when we didn't have GBs of RAM at our disposal. For a desktop, I've never seen any reason to have more than 512MB of Swap or so--no matter how much RAM you have (unless you are the type to run 30 big programs at once in the background while you play Doom3). In fact, I've never seen my machine use hardly any Swap at all. That being said, if you are nervous 1GB would be more than enough.
I'm not sure about mounting a Linux partition into Windows, sorry.