1. Unfortunately there is no such possibility. If you want to edit share icons titles you need edit the file wp-content/themes/royal/framework/shortcodes.php (from line 1729 to 1762).
2. Sorry, but there is no such feature in the theme.
3. Cart icon is loaded from the image wp-content/themes/royal/images/sprite/icons.png, so you need edit it with some image editor or upload your own image and use this code in custom.css file: