It's the athletic festival. Kakeru hurt his ankle during the pole-toppling game, and hid that fact from everyone else. Kakeru tries to keep his suffering to himself, when Suwa and the gang call out to him. Met with everybody's kindness, Kakeru begins to tell them what he's been keeping pent up inside. And then, the class relay begins.
That doesn't mean the letter was wrong.
.لا يعني ذلك أنّ كل ما فيها كان خاطئًا أيضًا...
hat sich nicht vertan.
ça ne veut pas non plus dire 
qu’elle avait tort.
Questo non vuol dire
che la lettera si sbagliasse.
A carta também não estava equivocada.
Это не значит, что письмо ошибается.