Hints: The Archivists

Getting Started:
Consider the objects in this room. Some of them are related to each other. Can you categorize them into groups?
How to use the groups:
Consider the groups of things you have. They each come from a larger set. The paper on the floor is intended to hint at mnemonics in general.
Stuck on extraction:
Look at the answers to these puzzles. Do you notice anything about them?
Stuck on ordering:
The Archivists arranged this room this way for a reason. Maybe you need to get some information from each thing in the circle.