What was Araragi doing in Tsubasa Tiger?
So Araragi jumps out of a portal and saves Tsubasa from the History Tiger while carrying the Kaii slaying sword...
Does Tsubasa hanekawa like Araragi?
Anyways, because of that Araragi loses his interest over Hanekawa. However, Hanekawa still loves Araragi and finally admits that in Nekomonogatari: Shiro. She is rejected by Araragi thus finally Hanekawa can move on. So this is the basic summary of character development for Hanekawa-Araragi love.
How did Shinobu escape the darkness?
400 years ago, the darkness came to Shinobu Oshino (then the vampire Kiss-shot Acerola-orion Heart-under-blade) for lying about being a god despite being a vampire. However, she managed to escape the darkness by creating her first minion and returning to her nature as a vampire.
Why did Hitagi cut her hair?
It is shown by the end of the arc in the anime that Hitagi has cut her hair short. Hitagi did this because she was finding closure about everything that has happened to her in the past, and was her way of accepting it.