Problems with the NS125DLX scooter

Hello

I have an NS 125 DLX with 6 years and 33000 km, so far I was going very well but I have been with a problem for a few days, when I start the motorcycle in cold it starts correctly and keeps the normal idle but as it is heating it accelerates until a point that pulls you how much you are standing comes. Apart that if you circulate with it consumes a lot of gasoline.

I have taken it to the workshop and after having it two days there they tell me that it is repaired and they give it to me with the already hot engine and what they had done was to lower the idle so that it was not accelerated, of course when you started it in cold stopped. Obviously I have not paid them,

I have quite basic notions of mechanics and the motorcycle workshop book already gives me the impression that the breakdown is in the electric starter that enriches the mixture when it is cold but does not normalize them later. I have located the Starter (it is screwed to the carburetor) and the cable that feeds it and wanted to disconnect it to see if the operation is normal, but it scares me because I do not know if this can be disconnected and then start the motorcycle.

I hit you some images of the carburetor, it will not be that it is wrong and the hose.

I attach an image of the carburetor.

Greetings and thanks in advance