I'm too colorblind to tell you if those bands are the right color but 100 ohms is right from the 3.2V @ 20 mA.
Is your LED red? 3.2V @ 20 mA seems high for red. (Probably OK anyway.) The other thing is you may as well just use a molex connector from your PSU, unless you have some sort of switch to power down your display.
the led is blue. so its ok to just have the resistor inline with the led. I don't have to have it on a board of any kind?. Again, I stress the fact that I am an idiot when it comes to electronics