I just recently upgraded to the Note Edge, the problem I am having is that it show's that I'm fully connected to my home network but my browsers and apps don't have a connection. However, while I'm at work I can connect and access everything just fine.
When was the last time you unplugged your modem and router for 30 seconds. As crazy as it sounds it often makes a difference. Also make sure you check your router settings to allow new connections without certain certificates.