8 January 2011: Kimi ni Todoke 2nd Season better have enough Ume
I don't remember the Death Note reference from the first season of Kimi ni Todoke. Either it was a new segment added for the episode zero clip show narrated by Kurumi, or I just didn't get the reference because I hadn't watched Death Note yet at the time.
P.S. Hirano Aya's character was the best part of Death Note, too.