Ooh, this is an interesting thread!
"This is Home" would totally make Aeri cry. Even if she tries not to show her true emotions most of the time, that song would probably hit pretty close to home because of her situation in the story and her overall personality.
"Cotton Candy Skies" would make Luci cry, and honestly, who doesn't cry to that song? She's already generally emotional, and it would probably make her start sobbing both because of how it sounds and how she could relate to the lyrics to an extent.
Hanako would cry to Devil Town, even though it's an upbeat song. It would hit way too close to home for her, since after her parents divorced she relied on her friends to fulfill her need for attention, but she also genuinely liked her friends and would be in a really bad place without them.