As far as them being historically correct: No. Forks were reserved for holding meat while it was cut (with exceptions for persons of means, who *might* have a fork, but it would be much nicer). It was also much easier to make a spoon out of wood, horn, or pewter than valuable metal, even wrought iron.
Which, btw, your implements are made from mild steel, not wrought.
For a ren faire: Yes, these are fine, but you may find that a wooden spoon has a better feel in your mouth because the metal spoon's shape is different than your home utensils, and you may bang your teeth (ouch)