Count of Monte Cristo questions on the story (about Bertuccio)

Hello, I have some questions about the story of The Count of Monte Cristo (I finished the book).

When Bertuccio the smuggler hides from the
police at his intermediary who turns out to be Caderousse, he surprises the tale of Monte Cristo disguised as Abe Busoni discovering the conspiracies with Caderousse, and giving him a diamond in the name of Edmond Dantès to reward him in as a friend. After the greedy Caderousse and his wife kill the buyer of the diamond, the police blame Bertuccio who was there at the time. I know that Father Busoni saves Bertuccio from the police by exonerating him. He then recommends him as a servant for Monte Cristo (who is actually himself).

I have many qustions.

At the time Monte Cristo saves Bertuccio, did he know the link that united him with Villefort’s son or is it a happy coincidence that Bertuccio is saved and will constitute the key element in Villefort’s fall?
Then, does Bertuccio accompany Cristo on his travels for 9 years or only join him later when he returns to Europe?
Above all, how does the tale of Monte Cristo come to know the history of the Maison d’Auteuil when he buys it?
How could he have predicted that Bertuccio, an ordinary smuggler, would be the key to his revenge against Villefort?
And since he knew about the house at Auteuil, why make Bertuccio confess in the house, what more did he need to know?
Sorry for the long text

by Medium-Local-184