I only have the service manual for the 3G integra but for them there are sveral fuses that it could be but if everything else is working and the light comes on, the fuses should be fine. When you say the light, you mean the light on the button right? is there is light on your cluster that comes on when the CC is actually engaged?

for the brake switch it will be easier to just take it out and test it, the light green wire to grey should be normally closed and the green and white wires to white and green should be normally open.