A rozzin box is a small tray in which one puts crushed rosin. One then places each foot therein to coat the sole with the powder, which makes the soles of the shoes grip hard surfaces more effectively. (They're for sale on ebay!) Perhaps the tinker danced jigs for money? Or perhaps he used the rosin for his fiddle bow?
An 'itchy stick' may have been a 'hitching stick' (again available nowadays) It has a pointed end which is pushed into the ground. A horse or dog can then be safely tethered to it. I've seen travellers use one for their horse (always a piebald or skewbald) while tethering it in a farmer's field in our village.
By the way, there's a racehorse called 'Rozzin Box'!