Isn't it ironic?

We are studying the different types of ironies, and here's the analysis of the song "Ironic", by Analis Morissette.

Verbal ironies: Well, isn't this nice

Situational ironies: An old man turned ninety-eight he won the lottery and died the next day
It's a black fly in your Chardonnay
It's a death row pardon two minutes too late
It's like rain on your wedding day It's a free ride when you've already paid
It's the good advice that you just didn't take
Mr. Play It Safe was afraid to fly he packed his suitcase and kissed his kids good-bye he waited his whole damn life to take that flight and as the plane crashed down
A traffic jam when you're already late
A no-smoking sign on your cigarette break
It's like 10,000 spoons when all you need is a knife
It's meeting the man of my dreams and then meeting his beautiful wife

 I think that the most ironic of all of them is "an old man turned ninety-eight he won the lottery and died the next day" because there are very few possibilities for winning a lottery and this man dies the next day of this unusual event.

In my point of view the writing is showing anger by these "exaggerated" situations, and also is trying to show how bad luck and good luck are combined.