You test the purity of sulfur in a variety of ways, including burning it to see if there is any residue.
Weigh the sulfur before you burn it and the residue. Then calculate 1 - (residue weight)/(initial wt.). The difference should be greater than 0.9998 if it is on spec.
The most likely impurity will depend on the nature of the sulfur. Was the sulfur in the form of large crystals or "flowers" or was it a free-flowing powder? Sometimes powders have anticaking agents added to them like talc to keep them freely flowing. Is the sulfur used to dust plants? If so, the impurity might be talc or clay. If the sulfur was originally in the form of large flakes, it could be anything... even a dirty crucible.