Hmm, those spots look more like insect damage than fungus to me, Alice. In your second picture, could that be a scale insect that has left a trail down the stem?
What a lovely flush of bloom you've got going on there! I'd be inclined to spray the spotted areas with plain water and sprinkle some cinnamon on while it's wet so it will stick. Either fungus or insects may be taken care of by this method. Keep an eye on the area though, and if the spots get bigger, or more appear, more drastic measures may be needed.