I was a little irritated that she decided not to inform the police that she had found the car. I understand that she had to spend $165 on a hotel room for the night, and was inconvenienced, but to keep the police looking for a car that's already been found is, IMO, unnecessary and rude.
It seems that she acted a little SS-y when she used the handicapped spot (although I do give her props for checking with the police officer to see if it was okay). It's also clear that the towing could be handled better than it is (or at least was in this situation). However, it seems like it was an honest mistake on the part of police. If all the cars in a three block radius are being towed, it's possible that a few are going to slip through the cracks.
(I also didn't see the point of constantly bringing up that it was a Lexus in the article, or mentioning that she took off her diamond pendant and left it on the console. It seemed like we were supposed to think that the situation would have been okay if this had been a 1990 Geo Metro.)