According to the text of the mission, it should be satisfied as soon as the Rawk is collected (which automatically goes in GSF), however completion is only recognized if moved into cargo bay; the mission does not specify to bring it to him. so either that should be added, or it should also check in GSF.
All mission items are collected from your ship, not the GSF or PSF (as the NPC may be at a location that does not have either!)
We will edit the mission text to specify that the items must be brought back.
That is what I figured, but it needed reporting anyway.