Boliy 3600ei Generator Carb. issue

Got a boliy 3600 inverter generator given to me, I can get it to run by using the choke to maintain an idle, but it won't do it on its own. I can see the throttle valve not adjusting as I look through the choke valve when running, acts as though it isn't getting any power to regulate.  It has some sort of electronic control on top of the carb.  Here is the replacement for sale on amazon.
 

 
Anyway is there a way to test to know if this part is bad or the "engine speed control module" that the carb connects to?  It is shown here?  
 

 
I don't mind replacing both if that would fix it.  But which one would you bet on as the problem, just trying to guess where to start.
 
Thanks