Final answer:
The provided excerpts do not offer a clear rationale for the characters staying in the park longer than planned, and the reasons listed in the question are not supported by the text. Without direct evidence, an accurate answer cannot be provided.
Step-by-step explanation:
They had planned can't be determined definitively from the provided excerpts; none of the snippets clearly mention the reason for their prolonged stay in the park. However, the provided snippets suggest various scenarios involving characters engaged in different activities, none of which appear to directly relate to an extended park stay due to reasons listed in the question. The absence of evidence implicating Edie and Louis asking them to stay, James faking an injury, stealing picnic baskets, or losing a map leaves us unable to answer the question with certainty.
In complex narratives, characters' motivations and decisions can be impacted by their experiences, interactions, and the challenges they face. The surrounding text of a story can provide invaluable insights into character behavior, but without the right information, it's not possible to provide an accurate response.