Is this sign related to the sign for 'family' or 'class'?
Yes! The signs for 'organization,' 'family,' 'class,' 'group,' and 'team' all share the same circular gathering movement. They are initialized signs, meaning they use the first letter of the English word to specify which type of group you are talking about.
Do my hands have to touch at the beginning and end?
Yes, ideally the thumb and index finger sides touch at the start, and the pinky sides touch at the end. This touching completes the visual representation of a closed, unified group.
Can I use this sign to mean 'organizing my room'?
No, this sign specifically refers to an entity, group, or association (a noun). If you want to talk about the action of organizing or tidying up a space, you would use the verb sign for 'plan/prepare/organize,' which involves sliding flat hands back and forth.