What is the name of the song about 13:00 into episode 2, when Eren is crying? I've searched in many places but I can't find it.
Disregard my comment on the OP; this song is on the first OST. It is called Kyojin Shinkou (track 9, also titled as "凸】♀】♂】←巨人"), and the part you asked about starts around 0:50 into the song.
Unfortunately, I cannot find a YouTube video or any other legal source of the track, and the OST itself is very expensive.