You could send your intire BL over email to yourself and open it on the other computer, the key should have saved in it
That won't run properly, the key seems to have some dependence to the machine where it's on, you would need to activate it again.
For your outlook, well C:\Documents and Settings\YOUR USERNAME\
just backup this whole folder and search the *.pst file, it's where your whole emails are saved, the email with the activation key as well.
I don't know the Folder Structure of the English Version of windows so well, it will be in a folder Local Settings or Application Settings
just backup the whole folder.