Thanks for all the replies guys. I'm about to send them an email. I've uploaded a couple of photos to Imgur, and double checked against the instructions and I still can't see anything that's wrong. I can't see anything that's shorted and everything oriented correctly. I will note that I originally put the blue resistors in the holes closer to the edge (as show, they're still soldered), but I fixed this before turning it on.
I have also checked the connections that the wires coming off make and the joints look fine and are in the correct position. One thing that threw me off about those was the "Attach and solder the white wire to 11U. Touch up the solder joint at 11L if needed" on page 13, which confused because it talked about both 11U and 11L, but I checked against the photos and the white wires are in 11U and 23U.
Thanks for all the replies guys. Are there any tests I can do now/next time with the multimeter without turning it on?
Quick Edit: Since I'm in the UK it might be quicker for me to just order some LEDs myself.
These have the same name and look the same so I might as well just order these, for the sake of a few quid?