1. After building a puppet in photoshop I created another face structure, turned aside. after rigging it in walk position, all the organs are not connected and move independently/ the face is deformed and split to two parts that don't coordinate, and I see only one hand and one leg (moving)
2. I try to rig a puppet on a background photo (or video) but when I press rig, I can see only the puppet so I can"t set its movement on the background.
For the first part, it is probably a matter of tackling one issue at a time and working through them. If you would like some help, including a screenshot of the rigging hierarchy can be a good first step.
For the second part, background images go into scenes, not the rigging panel. Rigging is where you assemble your puppet. Scenes are where you record their actions (including having other puppets and static background images). (Video background is another larger story.)