The only thing you didn't mention was the sticker on the door post.
I have a 2011 F150 Super Cab, sticker load limit passengers/cargo 2,393. my max tow is 11,200, according to the manual tongue max is 1,120, about the same as yours. After reading the manual several times it finally sunk in, the tongue weight is part of the passenger/weight. There is a direct relationship to axle and tire rating also. After looking at several of those door stickers, they also have the axle/tire rating - without the tow package some were over the limits.
I was amazed how close the quoted GVW was to the actual scale - my GVW is 200 shy, actual passenger/cargo is 2,193, if calculation is right. I'm going by the sticker.