I don't wear badges to school but I do wear my t-shirts from last year, and I have an alien toy I got from one of the teams at the championship with me.
I always dispute about that with the guards at school.They say it is not school uniform but I tell them it is because our team mentor said so.
I just cannot imagine bringing any other souvenirs like Frisbee to show to the school community..
It will be either stolen or considered "suspicious" by the guards

just kiddin'! They would love to play with it