Oh dear Switz500
LW does not sell 2 year subscriptions, that means you went to a scam site and threw your money at the wind and probably got a URL to freebie LW Basic.
So all you have to do is go to the official LW site (here is the URL:
http://www.limewire.com/english/content/download.shtml) and download Limewire Basic, you will be back to where you were before you purchased your new PC but now you have the knowledge that you were ripped-off.
Copy over your files to your new PC using a writable CD, pen drive or a series of floppy discs.
UK Bob
PS. It is highly unlikely that you will be able to get your money back from your bank or CC because so much time has already past but you may want to try anyway.