Sometimes the antibiotics CAN kill too much of the good bacteria
in the gut, but I am not familiar with pine nut oil OR Manuka
honey, so be sure to talk to your vet before giving them to your dog since I don't know about their safety, and sometimes things that are perfectly safe for us to eat can be deadly for a dog or cat to eat.
You can also talk to your vet about feeding your dog acidophilus yogurt or a product called BeneBac.