Looking at the SOURCE of your online version I can see that the CSS references fonts in a folder that I bet you do not have uploaded on your site.
src: local('☺'), url('../fonts/League_Gothic-webfont.woff') format('woff'), url('../League_Gothic-webfont.ttf') format('truetype'), url('../fonts/League_Gothic-webfont.svg#webfont1Lb5Pdit') format('svg');
Remember that those paths are relative to your css file, too.
Also, because these references are relative, the location of your site (e.g. draft/v1) probably has changed this.