Nostalrius Begins - Quality wow vanilla realm (1.12)

Hey guys, I've had a problem since I started playing. The pet skills I learn from a pet trainer don't show up in the Pet Spellbook. I tried catching a new pet but that didn't work. I also tried unlearning all my pet skills thinking I could buy them back for my new pet. But now the ones I previously bought don't even show up in the pet trainer's list. Anybody else run into similar problems? I've run out of ideas...

Pets have their own separate spell for training, don't they? If you look under your own spellbook, there should be a spell for something like "Train Pet." Your skills you learn from the pet trainer should appear there and from there you can set them up on your pet.