Europecar have falcon utes in their fleet. If they have the right tow bar, heavy duty, they are rated to tow at 2300kg, or 1600kg for the standard tow bar.
Depending on how far you need to go, and where, the CX7 would probably cope. I wouldn't cross the range west of Sydney or Brisbane with that set up, but a run for few suburbs would be OK asl long as you're sensible and allow for the idiots.