Cart does not work! WooCommerce 2.1.12 or 2.2.4

I updated WooCommerce 2.2.4. Stopped working cart. Set widget Card Tab. But this is not a problem. I deleted the widget. Activated WooCommerce cart. It just does not work.
Now set again the latest version of Maps Tab.
The essence of the problem.
When you press to add items to your cart. The item is not added to the cart. In different browsers, in different ways.
In some browsers, the items appears in the basket, and after 2 seconds disappears. The Cart is empty.
Now I restored my site on WooCommerce 2.1.12.
Cart only works in FireFox. In other browsers not work.
Help me please advice! What’s the problem might be? What should I do?