Your house is not kosher, therefore your honey isnt either. You cant have pork products, have to keep meat and dairy items seperate(even the dishes you serve them on) and your dishwasher isnt kosher at this point either. It would need to be sterilized at this point.
I would take the man up on his offer of using his jars, or sell him the frame itself for his own crush and strain honey.
If you want to have your honey legally labeled as kosher, you will need to have a rabbi certify your production facilities. It is illegal to call anything kosher w/o this certification. This costs money. I sell much of my honey for the Jewish high holidays(last week) and considered having it certified, but it was way too expensive. Kosher laws are byzantine and can easily be violated.