So, originally, when I started playing SE:R with my friend, we had done a full run of the campaign and the DLC, however, all of the kill challenge weapons that we were supposed to unlock after completing the kill challenges and the missions said we had still not completed it.
And I have just redone a mission by myself and fully completed it yet still have not gotten the kill challenge weapon, it isn’t any specific weapon on a mission, it happens on all of them for me.
(Update: SOLVED.)