First song: Adagio for Strings by Samuel Barber
Second song: I don't know this one - it sounds like the singer's saying something like "Now you're at this moment of peace", but I can't tell. I found it easier to hear with the bass turn all the way down.
Also to help, because of the many versions of Adagio for Strings, its the version by Taliesin Orchestra on the "Sacred" album mixed in with another verson at the very beginning.
That did help. The original version of the song is violin were as the one in the trailer is chorus
It's a song called 'In The Deep' by Bird York, I believe. : ) (If you're talking about the second song).
The other song is
Samuel Barber - Adagio For Strings
which plays for the first half of the trailer