Wow, impressive job for a first part! I'm not surprised some of the reply doesn't make sense, I had assumed you were an experienced part maker from the quality 
. Your only remaining problem worth fixing is the female pins in the fpz (which I have done). They are what is causing the lack of the red connection indicators in schematic (your addition of the terminals is perfect and the connectors now connect as they should). I think the terminal blocks were set to female so they won't appear in pcb if you don't define the pins there. Since you have pads in pcb I don't see a reason to not change the pins to male, which then makes all the pins in schematic the normal red "you can connect here" color. The gerber files (created via file->export->for production->extended gerber) are what a pcb production house creates the boards from. The drill.txt file in there tells you the hole sizes that will be drilled on the board. Since I expect most folks that use this part are going to be using only schematic and breadboard (as do I, I rarely make boards) and the pcb svg file has translates which make changing the drill hole sizes more difficult, its easiest to just ignore the somewhat odd hole sizes I think. This is an update to your latest version with the fpz file pins changed from female to male. The main difference will be that all the connectable pins ins schematic will be red now. Hope you need more fritzing parts in future If you have more questions please ask!
16-Channel Relay Module_fixed.fzpz (76.8 KB)
Peter