1. Gravatar is used to show the blog post author image. Please consider this plugin: https://wordpress.org/plugins/fv-gravatar-cache/
2. The Emoji call is the default WP editor. You can use this plugin to disable it: https://wordpress.org/plugins/disable-emojis/
3. FontAwesome is loaded without a server call, it’s loaded into the theme as standard. You may find you see this from a 3rd party plugin or your own modifications.
4. If you really wanted to do this, download the font zip and upload it to Theme Options => Fonts. However loading the font file would still take ms as would loading an external resource.
– David.