Hello,
“on the English side unfortunately no longer the selection bar goes on the English side” – Here is what I can see – https://prnt.sc/3J09wl34EcRe isn’t it correct? What bar do you mean? Could you provide screenshots for a better understanding?
About variations, you need to check how the add to cart works with the Storefront theme, because we do not see any reason for the problem from our theme side. It can be a conflict with a 3rd party plugin or something else. If problem persists with Storefront theme too, you need to check what plugin causes the issue by disabling plugins one by one, or contacting support of WPML and WooCommerce.
Regards