Hello @bartenderonduty,
Thanks for updating in!
1.) Regretfully we do not have an option that you can hide the text or graphic for the toggle. You can both enable it and then use custom CSS to show or hide them instead. Using your browser’s Development Tool, you can check the live HTML code and find which CSS selector you need to use or what CSS code has been used to style the toggle menu.
Check out this video demonstration:

Dev Tools demo
Please note that custom coding is beyond the scope of our support. You will have to maintain any custom coding to make sure that it will still work after any updates or does not create any issues or incompatibility in the future.
2.) What you are seeing are the Font Awesome Icons. We do not have an option that allows you to upload a new set of icons.
Best Regards.