In the first two chapters of The Lion, The Witch, and the Wardrobe what are some unrealistic characters?

In Chapter One, for Lucy, the lamp-post is the first signal that the wood she has entered is not a regular wood, closely followed by the second signal: the appearance of the faun, a man with the legs of a goat and two horns on his head.

In Chapter two, Mr. Tumnus tells Lucy stories of the forest, of Nymphs, Dryads, and Fauns, as well as the milk-white Stag who offers wishes if you catch him.