The issue you have experienced is a known one with the admin panel. Please note that the administrative panel is easily affected by rewrite engines included in .htaccess files in parent directories.
I have just placed a .htaccess file under your /cart/ directory with the following text in it:
RewriteEngine off
This prevent the effect of all rewrite engines from the main directory to affect your Zencart application. As far as I can see I have been able to login with the provided username and password: admin/admin.