Series and parallel RGB LED work abnormally (cross light up)
Did you check the output of the MT3608?  Where is the inductor, diode, and feedback sense resistors?

What is the voltage of EXT_VCC?

Five red LEDs will need about 12V.
Five blue or green LEDs in series will need about 15V.
VCC must be more than the forward voltage of the five blue and green LEDs.  15V may not be enough.  The resistors for the blue and green should be more like 25 ohm.  1K is much too much.  1K on the red will give you about 5mA, probably insufficient.  

What is the part number for the RGB LED?

Apply ground to signal C1. Do the red LEDs illuminate?
Apply ground to signal C0. Do the blue LEDs illuminate?



You could get rid of R1-R6 and Q1-Q2 by using a triple output CCR like the Microchip CL320 (20mA per channel).  This way resistor values will not matter and the interface to the micro is simplified.