1. Keeping the Signal Fire Lit:
Ralph feels that maintaining the signal fire should be the boys' primary objective. As the popularity of hunting increases with Jack and the other boys, Ralph fears, and rightly so, that the boys may forget about the importance of rescue altogether.
2. Addressing the boys' fears about the Beast:
The role of the beast in the novels increases in chapter five and especially six, when the parachutist descends upon the mountain. Ralph worries about the boys' safety as well as their mental well-being.
3. Maintaining his authority as Chief
In chapters five, six, and seven, Jack begins to challenge Ralph's authority more and more. Jack questions the role of the conch in front of the other boys and publicly voices his doubts about Ralph's leadership. Ralph even considers stepping down as chief, much to the concern of Piggy and Simon, who convince Ralph that he must remain chief to protect them.