I visited your site on my desktop and tested with my iPhone as well.
The buttons in the Hero section appear on both desktop and mobile. Have you made any changes since the last time you posted here?
Regarding the CTA button on the top right, I can make it like the solid blue button however, I will need access to the Admin Dashboard so I can edit a theme file.
Can you provide the admin username and password? I will take care of the rest.