HONEY: Pure honey essentially does not require kosher certification. However, as there is no legal definition of raw honey and as honey sometimes crystallizes, it is normal to be heated to a degree that is more than halachically cooked and can still be considered ‘raw honey’. In the United States honey can legally be made at home and, therefore, be heated in one’s regular (non-kosher) pots.
Backyard beekeepers requires kosher certification or need to be researched before purchasing. Larger companies with their own honey house are currently ok to buy from, even without a Kosher certification.
Honey from China or even from Canadian or Mexican importers can be from bees that are being fed corn syrup, not nectar, but even have been found with added corn syrup or liquid cane sugar added. Although it may a quality issue, it is at this point not a kosher problem.