I think they should because the only thing the government is trying to do is to protect us from harmful people. So they need monitors on anyone that they think will be in danger of others.
I dont think piercings should be banned from schools unless if the piercings are ridiculous and a huge distraction! But i basically think that you can do whatever you want. So if you want to look ugly and have 20 piercings on your face, then go ahead! :)