What are those pins for...?

I am sorry, there is nothing wrong with your learning curve, but these guys are jerks and you should not support their hardware ventures. These "schematics" are not schematics. These as PCB files. It says their PCB files. If this was a single layer project, I might forgive it, but no.

Anyhow, the double pins are probably for each bank of relays. Top pin is for the even number and bottom pin is for the odd number. To trigger relay "4", you probably need to power the top 5v and top Gnd and pin 4. If you hook up the power to the bottom 5v/Gnd and pin 4 it probably will not pull the relay. I can't say, because I do not want to study from a Multilayer PCB diagram in PDF.

I apologize again, these guys are really annoying.