How do I ajdust Z order of each part of a composite character?

Hi, everyone.

I'm trying to start a new project and, for the first time, my character (a bird) is build of multiple sprites (body, hair, beak and tail). When trying to adjust the z order relative to the Z order of similar character (other bird), it doesen't work very well, because some sprites clip through the other character.

Video to show whats happening:

My code:

Thanks!