Thanks for marking this Solved.
To answer your question:
you only need to backup the root.disk not the swap disk (though you could also make a copy just to have one).
If you are making frequent changes to the Ubuntu install such as downloading and installing software, saving files etc. then backups of the root.disk should be ongoing because the root.disk is being constantly modified.
If, however, you are saving personal files outside the root.disk then you can probably do backups less frequently since not much is changing and because backing up like this also means backing up any free space on the root.disk.
Plus, as you saw, it is a rather large file!
If, at some point, you would be interested in migrating the Wubi install to a regular partition on your hard-drive, let me know and I can point you in the right direction.
Wubi installs are great for trying/testing another operating system in a relatively safe way, but Wubi was never intended for long-term usage.
Anyway, good luck whatever you decide.
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