I don't think that setup will work. From the picture of the green ones, it looks like they have resistors built-in. I'm pretty sure that you can't run 2 12V LEDs off of one 9V battery. You probably need a 12V battery. In that case, if you want to run all the LEDs off the same 12V power source, you'll need a 470 ohm resistor (yellow, violet, brown) for the white LED, and hook it all up like this.
[attachment=1119:LED_Chart.jpg]