Broken Blender Rig inside Unity

So, I made a pretty basic rig in Blender for my character, and inside of Blender, it apparently works really fine. Every bone works as it should. However, when I exported the model and reimported back to Unity, the rig appeared to be completely messed up...
Also, the mesh and bones are separated, which make difficult and confusing to work with the model...well, way more difficult.

I left attached 2 images, one of the rig in action inside Blender, and the other one in Unity.

Some context info, I'm using Blender 2.9 and Unity 5.6.
One thing I noticed about my model was that the origin points were not well positioned, so I repositioned again back to their original place (the center of the mesh).

Also, as you can see, my model have segmented parts.