This is not hazy at all. I decided to increase the luminosity of the blue color channel so the moon would have more of a glare. maybe this creates the impression of haze to you. However, if you into the distance you'll see that the visibility was actually quite good!
At 14mm f11 will not have any DOF limitations whatsoever, provided the closest object is at a distance more than 2m / 6ft. You'd hardly EVER need a higher f-stop, not to mention f22.