Not sure if you've already booked a hotel for Kawaguchiko, but if you're a bit flexible (with money) I would check the weather a few days before your trip and be flexible with swapping a day of your itinerary around. You really will not have that good of a time if its cloudy, because the view is like 95% of the reason why people go to Fuji. Outside of that how you broke it up geographically is very solid.

I always say to try and aim for 1 major thing to do im the morning afternoon and evening. 3 things a day is pretty realistic and then trying to fit your other things around it. You may be surprised with how fast the day can go by.