The large box is the larger ballot box used at some past Worldcons (and NASFiCs) for their site selection. The small banner of WSFS commissioned by Sasquan in 2015 is here in a now very well-traveled and much-stamped mailing tube. Different Worldcons have different thoughts on what to do with the Gavel of WSFS between Worldcons. Some take it with them after their predecessor's closing ceremony, while others worry about losing it and ask me to hold it for them until it's needed again at their opening ceremony. (Given that the current gavel dates only from LSC3 in San Antonio after the previous gavel (first used 1994) was lost somewhere between the 2012 and 2013 Worldcons, this is not a trivial concern.)
I try and keep the WSFS material prominently displayed in my upstairs office, so I don't forget where it is.