all correct, but skip the deep creep on your intake.
decarbonizing your intake manifold itself by running it through your engine is stupid stupid stupid, it tends to come off in big chunks flat chunks -- unlike combustion chamber carbon, which tends to get really hot and burn off fairly efficiently
a little bit of carbon buildup in your intake actually improves airflow, as the inside of the intake is rough cast, and the carbon fills the valleys in the casting.
there is really no good performance reason for decarbonizing your intake
if you want to clean it, do it OFF THE CAR in a solvent tank