Now the interesting thing here is that bottom right image with the hand and four balls has a background that is almost black on the print...
I'm looking at the same target on my i1Match calibrated 21" Dell and I can tell you even my Epson NX330 "All In One" printer without any special ICC profile (Let Printer Manage Color) on glossy paper will not make that 33RGB background black viewed under any light conditions.
Make a square shaped selection on the target in the area in question in Photoshop and fill it with absolute 0,0,0RGB black and see if it is distinguishable on the print from the rest of the background. If it's not, then that Moab ICC profile isn't doing a very good job in the shadow regions or you could have a setting wrong or off.
You shouldn't have to be working in the dark calibrating your display to 80 cd/m2. Check out the "Room Lighting" thread and see my setup.