Can the school suspend me for not showing my facebook?

It sounds like harassment to me. You should have your mom talk with the vp first and try and find out why he would want to invade your privacy by seeing your Facebook page. Unless you were directly involved in the fight and there was evidence of that you should not be held accountable. If the vp will not back down and rescind your suspension then your mom should talk to the principal. If that doesn't give results then filing a complaint with the school board is the next step. You might even want to talk to an attorney.