Sure, here are five character names for your book, all of which rhyme:

1. Mae: A short, sweet, and classic name. Mae can be someone who is modest yet strong, or perhaps a character with a deceivingly simple exterior but a complex interior.

2. Ray: This name could be for a character who is a source of light and positivity for the others. Ray could be the beacon of hope in your story.

3. Faye: A name that is often associated with enchantment and magic. This could be a character with mystical abilities or someone who is simply enchanting in their own way.

4. Clay: This could be an ideal name for a character who is malleable, adaptable, and open to change, much like clay itself. Clay could be someone who grows and evolves significantly throughout the story.

5. Jay: A name often associated with freedom and creativity, much like the bird it shares its name with. Jay could be the free spirit or creative genius in your story.