Hi again @Futilelyte,
Forget all about that you have already picked up the Phantom bow or whatever how many kills or what you have with it. It doesn't matter.
Your Phantom Operative assignment is not yet unlocked. That is what you need to accomplish first.
And as I wrote above, you should not equip your soldier with the bow when going into this assignment. Use 'normal' primary weapons!
You have completed the prior 3 Phantom assignments, so all looks clear for you to succeed also with the last one, the Phantom Operative.
Do the following please:
1. Equip your soldier with the Phantom Program Dog Tag. (which you got from first Phantom assignment)
2. Then choose a standard primary weapon and equip it with the Phantom weapon camo, which you got from the second Phantom assignment.
(I notice here also that your Recon soldier in using bow is not using the correct camo!! But as said, don't even use the bow, use a normal primary weapon instead)
3. Equip your soldier with the Phantom camo, which you got from the 3rd Phantom assignment.
4. Check in the BattleLog App report when going to the leadership board and pressing the skull at the very bottom, that the Phantom Operator Phase 4 has become activated for your soldier!
5. Then make sure you also equip your solider with one of the Final Stand hidden/secret dog tags. (your solider looks ok with your tags right now!)
6. Then you need to join a live game round with 3 other soldiers as we already covered previously above, to go down in the elevator in Hangar21.
7. Please observe that the active game needs to be official and it has to be a Large Conquest mode!
8. When going down with the elevator, go and interact with the document as the first thing before picking up the bow.
9. Interacting with the document is the trigger which initiates the assignment.
Then pick up the bow and you are ready to go back up again and get the Phantom Operative completed by doing the bow kills and headshots after that.
Let me hear how it goes!