Yeah, that sounds alright.. except for the last point where you've said that lower interest rates made inflation plummet. It's usually when interest rates rise that consumption and investment (and hence, inflation) slow down.
In 2001-02 You've gotta remember the important stuff that happened, like the introduction of the GST and the attacks of September 11 which had a huge impact on consumer confidence. Which meant that people were spending less = businesses get less revenue = less money for employees = even less money being spent... and as a result our inflation dropped remarkably.