Question

Is this excerpt from "A Birthday" by Christina Rossetti an example of a simile, a metaphor, or an analogy?

My heart is like a singing bird
Whose nest is in a water'd shoot;
My heart is like an apple-tree
Whose boughs are bent with thick-set fruit
It is a metaphor because it compares two dissimilar entities.
It is a simile because it reflects a direct comparison between two things.
It is an analogy because it emphasizes the understated similarity.
It is an analogy because it compares two pairs of corresponding elements of two things.