If what you have is working then go with what you have, my steps were just general to get you pointed down the right path, like I said I can't test it on any of my installs as they're all customized.
You can hide the registration link in the cb_login module parameters.
I guess you're right, I thought you could choose whether or not to show those links there or not.
What you'll have to do then is go into the cb_login code and either comment it out, add a div or span class to it and set it to display:none, or just completely remove it.