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You'd be better off using a dedicated piece of software for that. But, if you need to use AppleScript, try calling rsync in a "do shell script" statement.
AppleScript and terminal (or rather more accurately shell commands) play well with each other. You can invoke shell commands from AppleScript and AppleScript Commands from the shell.
You mentioned in your private message that you would like incremental back-up. Perhaps you might want to read-up on Rsync - and the Mac OS X GUI apps that use RSync.