Animal Crossing New Horizons Question

Does anyone know if the magic wand for the outfits break like any other tool.

Nope. The pole and the ladder seem exempt.

My 6th villager (first campsite villager) asked to move out today. I told him to go for it. I only have 8 villagers and only got him 5 days ago. I thought you can only have them move out after you have 10 villagers. Can someone help me figure it out https://1921681001.id/?