Ответ:

  1. a) Are you going to be an actor?
  2. My favourite actress starred in Titanic movie. Have you seen it?
  3. c) Will you take part in the project?
  4. b) Have you already read this book by J. Kipling?
  5. He didn’t get the leading role in the performance yesterday.
  6. I have just read this book. It’s really worth reading.

Употреблены формы: be going to для планов, Past Simple с законченным временем yesterday и Present Perfect с already/just.