This assignment consists of two cases involving breaches of duties by directors and shareholders. In the first case, Mary, as a director of Heritage Pty Ltd, failed to perform her fiduciary duties and forged Peter's signature on a document. As a result, Peter can bring a statutory derivative action against the company with permission from the court. The criteria for granting leave are met, including that the board is not willing to take legal action, the company has been harmed, and Roger Rogerson had personal interest in the transaction. In the second case, Roger Rogerson, as a director of Sparkles Ltd, breached his fiduciary duties by selling a rare sapphire to his nephew at a significantly undervalued price. Peter, as a shareholder, can bring a statutory derivative action against the company with permission from the court.