Since you can get a partial response from no-ip.org then I doubt it is the hosts file blocking or you wouldn't even get the footer information displayed.
Your assumption is right. There isn't any mysharedfiles or no-ip entry in my hosts file, also no mysharedfiles.no-ip.org.
So your problem appear to be that the import of data is being blocked or your browser has somehow blocked frames and or javascript.
Ok for Firefox, but for Opera, Maxthon, IE, Flock

I just deeply change the Firefox configurations, the others are more or less the default.
I don't know what to do with the code you've posted... What am I suppose to do with it?