in your user folder (the one you would navigate to through C:, so C, users etc. etc.) there should be a several folders (about 10) and one of them will be favourites. If you were using IE, then just copy and paste them across. Internet Explorer - Import and Export Favorites
The emails should have been stored on the server, so just logging in should download them all again.
(i'm not trying to be vague on purpose, i just dont have a computer infront of me at the moment