I will look more closely later but the one thing that stands out is all that backtracking!!
You are going to stay on the Amalfi Coast TWICE????
Of course, as recommended, above, fly into Rome and go home from somewhere else.
To go to Sicily and to only see Taormina is really a little silly.....
I think you are making the mistake that many novice travelers make..trying to fit in so many place, rushing here and there, and back again...with almost no time to settle in and enjoy. You are really all over the place and it seems that you have little idea of where you are going.....please do not take offense, I'm just telling you how this seems to me.....
For example, why have you chosen Praiano? It has none of the things you seem to be looking for....
Are you going mostly for beach time? That's fine, but if it's the case, why go all the way to Sicily....from the Amalfi Coast you could go by boat to Maratea (I think, you must check) or to the Cilento where the beaches are many times nicer than those below Taormina.
When I want beach and pool time in Italy, this is one of the areas I visit:
https://www.travelandleisure.com/maratea-italy-town-8709454
https://www.forbes.com/sites/rebeccahughes/2024/06/19/for-the-amalfi-coast-without-the-crowds-try-this-secret-seaside-town/
There are plenty of good beaches onSicily but are you really going to travel all that way to go to a beach, when there are so many others closer to Rome???
Even Fregene less than an hour from Rome:
https://www.gonomad.com/169922-fregene-the-beach-next-door-to-rome
But I do think I am offering ideas that you will never pursue, because perhaps you want to visit the famous places that many foreign tourists prefer... Do you want to stay on the tourist trail? Nothing wrong with that but I won't keep posting other ideas if that's the case.....
If you are to be in Tuscany for the concert, then begin somewhere else....maybe fly to Sicily and work your way north, ending in Tuscany. Fly home from there. Forget Paris..you do not have enough time. Take a look at the Ligurian coast---towns like Camogli.....gorgeous!!! From there you could fly home with connection, from Genoa...
Not only that, but it seems as if you have not booked any hotels yet (???). To get a booking in Taormina for two months from now will be difficult unless you have a large budget......
Which guidebook are you using?