I would try "Forgetting" your home network, and the reentering the password and reconnecting. Try this page
for instructions on how to forget the network in windows 8/8.1.
Also, go into internet explorer, Press alt+X to open "Tools" menu, go to "Internet Options" click on "LAN Settings," and make sure that:
Automatically Detect Settings is CHECKED
and all other boxes are UNchecked.
Your school network might have implemented some changes to your proxy settings that may be causing issues at home.