The afidavit has some issues.
I think that when this gets ironed out, we will find that the affidavit, while not the best written, is not that far off. I think some of the Iraqi witnesses are not exactly reliable. For example they say the guys that did it came out of the house and surrounded it with the local forces. This (and the time 2:00 PM make it seem more like this was the US team that was sent to investigate.