I read some of the definitions and I was like whaaaaaa
Taking Back Sunday is NOT emo and someone even said screamo that made me laugh??
It's a pop punk band. Similar to like my chemical romance or something.
Emo: bright eyes, cursive, copeland, northstar, veda, danger:radio (kinda) etc
Screamo: daughters, the number 12 looks like you, dance massacre, saetia, wecamewithbrokenteeth etc
Pop-punk: taking back sunday, green day, my chemical romance, simple plan etc
hopefully that clears some things up!!