Maybe Suzu is carrying it around because she's confusing Buddhism and Shinto together? Or maybe she's like a mini-MEIKO, and carries around cosplay items to give to people when she sees fit?
By the way, Haku is swinging around that gohei around quite a bit. I wonder if she knows how to use it, or if she just so terribly embarassed that she decided to go with the flow.
On a side note, we haven't seen Chibi Neru since she took off the hair extension. Where did she run off to, I wonder?