Please navigate to Dashboard -> Products -> Attributes -> Color -> Configure iterms, enable swatch as shown http://prntscr.com/jskm29
Navigate to Theme Settings > Shop > Attribute swatches > choose pa_color (your color attribute) and enable “Use images from product variations” if you want the images of variation to be shown instead of swatches.
Please deactivate all the plugins not related to the theme and switch the parent theme, check the issue, if the problem remains, leave the plugins not activated and provide the site admin access to the private area.
The site admin access you provided earlier is not the proper site as it does not have any variable products.