LED RGBW Lighting, Will this Design work?
the upper left corner would seem to indicate that you have common cathode and anode led's as in both ends are bused together, this will not work.

you probably want to have a transistor controlling the common part which will act like a "LED Select" then the non-common legs of each diode can be tied together as color select.

basically as if you were controlling a bank of 7 segment LED char displays... only just 3 segments... this will also allow you to use different resistor values for each of the diodes, because they usually have different electrical characteristics.