Adding social media icons to right of site name

To set up a social links menu:

• Navigate to the Menus panel in the WordPress.com Customizer.
• Click on the “Social” menu (which I see you’ve already set up.)
• Check the “Social Links Menu ” option under “Menu locations.”
• Click the “Add Items” button.
• Choose the “Custom Links” option and add a link to one of your social profiles in the URL field.
• Add your custom link to your menu and save your changes.

The theme will automatically detect the social profile you’re linking to and generate an icon based on it.

As noted here, the WordPress.com contact form is the best place for you to take further questions:

https://wordpress.com/help/contact/

Thanks!