On one of the shows they said it was actually Tony Ducks who ordered Gas and Vic to hit Gotti. And even when they killed DiCicco by accident Ducks was still happy with the results.
I don't know if thats true or not but that was what someone said on one of the shows i watched.
Yes, you are correct.
As per Philip Carlo's biography, Tony Ducks and Christy Tick had a private meeting with the Chin to discuss Gotti. Some others, like Casso, were waiting in the other room to hear what the plans were. They emerged and shared the news that they were dispatching the Genovese Jersey crew to handle the job.
After the Commission trial left Amuso/Casso in charge, they now met directly with the Chin. The Genovese Jersey crew was unable to get to Gotti, and now the Chin delegated the job to Amuso/Casso.