Not at all. Maihime is purely a work of fiction. The plot and characters are invented to entertain and engage the audience rather than being based on real events or people.
It's hard to say for sure. In cartoons, characters often have human-like emotions and could think of you out of kindness or friendship. With animals, it depends on the type and your relationship with them. Maybe a pet dog that loves you is more likely to be thinking of you.
Well, meaningful cartoon drawings usually have a clear purpose. Maybe they make us think, feel empathy, or teach us something valuable. They might use symbols, colors, or characters in a way that has a deep impact on the viewer.