I was finally able to cut apart one of the bad nodes, and unfortunately I don't think there's anything wrong with it. The resistors used are
Blue - 430 ohms (3.4V)
Green - 430 ohms (3.4V)
Red - 560 ohms (0.8V)
All connections look soldered properly, with no cold solder joints, and nothing looks visually wrong or burnt. The only things that look a little peculiar is the selection of the red resistor which limits the led voltage drop to 0.8V, a little low for red leds (typically 1.8-2.2V). So our guesses about the resistor value being too low is wrong. Using a 560 ohm resistor though would use .224 watts, so 1/3 watt resistors should be used. I can't tell what wattage rating the resistor are, and I'm not sure what happens if that's exceeded. Does it change the resistance or just melt the resistor? The resistor isn't melted, shows no signs of damage, and still reads 559 ohms.