Which organization requires contact with officers of the lodge?

The correct choice is rooted in the nature of the organizations listed, particularly in how they structure their operations and maintain member engagement. The Order of the Eastern Star operates as a Masonic appendant body and has specific requirements for interaction with local lodge officers. Members often need to engage with these officers for various aspects, such as ceremonies, meetings, and decision-making processes, which are integral to its functioning and community activities.

In contrast, the other organizations may have different operational frameworks. The Benevolent and Protective Order of Elks and the Fraternal Order of Eagles are both fraternal organizations with their own governance structures, but they may not necessitate direct contact with lodge officers for general member participation. The International Cemetery, Cremation and Funeral Association, being focused on issues related to the cemetery and funeral industries, typically operates within a different context and does not function with the same level of member-lodge officer interaction. Thus, the unique requirement for engagement with lodge officers makes the Order of the Eastern Star the correct answer.