Hi,
That's likely a popup issue with your template.
You could try changing the "popup mode" setting of the HikaShop configuration to "vex" so that it should avoid the issue.
You can also change the address selector setting of the HikaShop configuration to something else than "popup".
Also, I see that you're using the old checkout system of HikaShop 2.x. I would recommend turning off the "checkout legacy" setting of the HikaShop configuration in order to use the new checkout system of HikaShop 3.x. The checkout will work better and you won't have that popup issue either as the address edition don't use popups with the new checkout.