Hi,
It's seems to be related to the "auto submit shipping and payment methods selection" setting being turned off in the HikaShop configuration of your website.
Try turning on that option and it should help.
Also please note that you're using the "credit card" payment plugin which allows you to collect the credit card information of your customers. It won't process any payments automatically and it will be up to you to process the payments with your our payment terminal.
In most cases, that's not something you want as you want the payments to happen automatically and in that case, you need to integrate with a payment gateway like PayPal or Authorize.net which can also display the same credit card form on your checkout if you use PayPal Pro or Authorize.net in AIM mode.