I think this is the problem of the woo commerce plugin. When I checked your index or the main page I found that the static page content is coming through the woocommerce plugin. I am 100% sure that the javascript and the frame are making problem translating the page. The product you are listing is inside the frame I think and this is why the page is not translating into English. You do some R&D and it will be OK.
To solve this problem you need to make a static content widget like I have done it on my greymarket site. What I have done is I have put all static content in a widget, so I do not have to use the static page. Now by downloading the “Display Widgets” plugin, you show your static content to the desired page. This will solve the translation problem. You can do following steps:
1. Add a static content widget via this link. This is WordPress header widget code from wpbeginner.com.
2. Now set everything up and move your static content to the header widget.
3. Download the “Display Widgets” plugin and make the header widget visible only to the main page.
Thats it. Now check the translation switch. It will work fine.
