The font seems to be working fine for me in Edge: http://screencast.com/t/mlVLh4eykAba
I am seeing the weird line issue, but only after I hover over a menu item. I wonder if it’s an Edge bug: https://connect.microsoft.com/IE/feedback/details/1698841/lines-appearing-as-rendering-artifacts-on-hover-in-microsoft-edge
I tried some other sites using GP in Edge and didn’t see it happening. I wonder if you’ve added some custom CSS/are using a plugin that could be causing the rendering issue?