1. Hachikuji's bag is in Araragi's room, she had left it when she stay for a night in his room - willl be cover later in Kabukimonogatari and Onimonogatari portion
2. Araragi made a trip to alternate space/time world to save Hachikuji from dying 11 years earlier<--possible spoiler.
3. Sawari Neko and Kako (苛虎/Flaming Tiger) are two different kaii. Sawari neko will be shown next week, most probably. The chapter skip in the 1st episode noted that--it's the time where the neko wakes up and play.
4. hitagi respects hanekawa.
5. You will be shock even more when Ononoki Yotsugi shows up later in Kabuki and Koimonogatari.

The one that she's calling Araragi while holding her emotion and her burnt pain.

"Yes."