Reply To: Login, Register, Lost Password links
To enqueue files in your child theme use get_stylesheet_directory_uri.
Put the custom login stylesheets into your child theme named style-login.css or whatever you want to call it, and in the function use get_stylesheet_directory_uri instead of template_directory.
https://codex.wordpress.org/Function_Reference/get_stylesheet_directory_uri
Will check out the other topic in a minute.