kiiro, I too am only new to the group but have immediately found the guys & gals here to be great and highly supportive, so welcome from me. It may sound crazy but i picked up my beat as a non runner with very similar sounding issues to yours and traced the idle and cutting out issue back to the fuel pump inside the tank which had become disconnected from the pipe it fed. It took a little while to find because it all sounded okay externally but now problem solved and moved on to changing the bag of bolts previously known as the water pump!!