The rubber boot on the choke knob is worn out. You can get replacement parts from the factory. Pricey though. I have seen some on EBay that look like they would work, but they ship from Hong Kong. I've bought other things from sellers there before, and aside from it taking a long time, they were good quality at good prices.
For the dribbly carb, like ACS said, I would clean the carb (specifically the float needle valve and seat), and additionally check the float level height.