Hello,
I think we both have some misunderstandings, You have some misunderstanding in explaining the issue and I have some misunderstanding in understanding your issue.
Let me try to ease it for both of us.
1. You want to Customize the Login screen/Login Form and want to add some more option into it, and for that, I replied to you in my very first reply that: Sorry to say that this is not possible through theme options. The login/Register is the Woocommerce functionality. Our theme does not have any options to customize them.
2. Now in your last message, you wrote that:
“If I change the login screen in the current theme if I use another login screen, will there be problems with user logins?”
So as far as I understand it, you can Customize it as per your requirements by yourself, and you wants confirmation from us that will the users face any problem with Login when you change the Login screen, so the answer is, It depends on your Customization Code, If you Customize it properly then no your users will not face any issue with Login and vice versa.
Hope this makes more sense and clear now.
Best Regards.