The CSS code I gave you above is not in the default CSS of HikaShop. Otherwise, you wouldn't see the login part by default. You need to ADD it in that file.
We don't know of such problem where the user needs to click twice on the next button. Normally, when the user clicks on next it goes to the next step. It only stays on the current step if he made a modification and that this modification needs to be displayed (payment method change, shipping method change). Could you give the URL of your website so that we can see the problem ?