On Day 1, after the rest I would do what you have scheduled for Day 4 (eve). Consider the Fantasmic! Dine package https://disneyworld.disney.go.com/dining/hollywood-studios/fantasmic-dining-package/. This will allow you to bypass the line for F! and use the time saved to do VotLM as originally planned.
On Day 3, that is a bit of a hike to go all the way to Italy just for dinner. Maybe consider one of the restaurants in Mexico - La Hacienda is excellent!
On Day 4, as others have suggested I would do FotLK. To make room I would drop Nemo - FotLK is much more interactive and better for kids with the wiggles. If you move the HS evening activities to Day 1, you could add Nemo and some other attractions and make it a slightly longer day, and then just go back and enjoy the resort for the rest of the day. This way you would not need a PH, saving you some $$$ for other things.
Also, perhaps try making a copy of these plans and running them through the Optimizer - you might find that it comes up with plans with a lot less waiting. Don’t enter any FPPs, and see what it suggests. Check out Making Optimized Personalized Touring Plans with FastPass+ for tips on how to best do this.