Try looking on eBay for antique barber chair - there a number in completed sales on Oz eBay. Does your chair look like any of these? There is a vast spread of prices achieved - obviously condition and style play a large part.

As already suggested, look at the various Dyola cabinet styles in Google images. If yours has a nice image / writing on the front and is in good condition, I would think $150 even $200 would be achievable. People like these old advertising cabinets; if it had a glass door with printing, so it could be used for display, it would be worth considerably more. If the dye packets are intact, and have nice printing on them, to be honest I would sell them separately.