I took a quick look at your login page. It seems that you’re using an old template or have heavily customized the template. If you don’t need / haven’t customized the template then I would suggest you reset the template to the default (though that is not necessary).
In regards to your question about custom logos, the Auth0 Universal Login page will not pull through the logo from an Application and this is on purpose. You can see more about the reasoning in this thread.
If you want to customize the logo then you need to modify the template to have the logo hardcoded. There is a theme object that gets passed to the Auth0Lock constructor with a logo property. If you set this property to your logo URL then it should work.