Each character in the stories the rain tell are actually the same set of characters from the beginning. The rain tells the life story of the married couple in the beginning, although at random pace and not chronologically.

In order of the story, the focus characters are:

Wife: Girl who hates rain due to break up; little girl who rides home with tutor; woman getting proposed to; young lady stuck in the same room with the person she hates.

Husband: Judo boy who aids the girl to cover from the rain; little boy with the plaid umbrella; Guy proposing to girlfriend; The young man whom the lady hates.

Ex-Girlfriend of Husband: Girl whom breaks up with the judo boyfriend; little girl whom has a plaid umbrella and she shares with her crush.

i was a little confused when i found that the couple had the judo jacket ,polka dot and plaid umbrella and the kid was eating a candy ring.the story of the married couple is clear now.

I love that Madonna (future ex-gf) had a white ribbon on her hair when they were just starting to fall in love, then a black one when they broke up.

That means if you want to read in chronological order:
pg 15-26
pg 5-14
pg 39-51
pg 27-38
pg 1-4
pg 52-54