Your hierarchy looks fine. In your NLA editor remove the NLA track under Group005 (dunno if it makes a difference, but you only need to put all animations in the Armature track). Have you converted to a .j3o and checked the node structure? You normally have to go down a couple children to get the right AnimControl.
Here’s an example of one I did today:
I assume your not using any incompatible modifiers? (Inverse kinematics etc). If you are, then you can try the blender2ogre exporter.
Edit: Also don’t worry about the “maximum 4 bones per vertex error”, its just a warning, and in jME we just pick the 4 bones with the greatest weight.