I see some JS errors in Chrome console ( http://take.ms/um5Uk ) which are related to two lightbox scripts and Google maps.
Could you please try to disable all other plugins and check if WP Review is working properly. If that doesn’t help, please switch to default WordPress theme to check if there is a conflict between WP Review and your theme.
I’ve installed a fresh wordpress Twenty Sixteen theme to my localhost and installed WP Review plugin and the user rating is working fine. I guess it has conflicts in my other plugin or theme I’m using.
What’s likely should I do if I can’t deactivate my plugin and can’t change theme? Is there other option than deactivating the plugin that conflict with WP Review or changing the theme?