@ Rain - The sending Yuriko back is in an omake so it's possibly non-canon. The first turning point is during the Mondo Grosso defense where all of them get they're asses demolished by PT.
The second one is their LI's and their future when chosen.
Ichika's is choosing between who he loves and trying his hest not to try and hurt anyone else.
Irish's is to deal with the fact that ye has to give up his hatred or lose his life and friendships fighting a pointless battle.
Dunno about Kyuukai.
Side note - Here we go again with the dark topics