Can anyone help me with song titles from this film?

The first song is sung in the cafe by the young co-worker, I know it is a very famous song as I have heard it in numerous films, but have never found the title.

The second song is used in the closing credits (and is also heard during the film) about the Milky Way.

The director uses music to great effect in all the three films I have seen by him.

Many thanks if you can help identify these two tracks.

PS> I also saw on the film's website, that the original instrumental film music is by a band called E Komo Mai:

*beep*

I'm definitely going to check this band out!