We've reviewed your install and you've done some significant changes to the usergroups which are a likely result of the 403 (Joomla I believe flat out denies a page exists if you don't have access, which is the proper and secure method to do it). Please apply the CB 1.7.1 (upgrade if not done so already) pre-patched files from the following forge tickets to resolve CBs usergroup handling issues then retest if problem persists.
forge.joomlapolis.com/issues/3038 (administrator/components/com_comprofiler/library/cb/)
forge.joomlapolis.com/issues/3000 (administrator/components/com_comprofiler/library/cb/)
forge.joomlapolis.com/issues/3044 (components/com_comprofiler/)
Please ensure you apply the pre-patched CB 1.7.1 files in the exact order as given above. Simply copy and replace the pre-patched files to apply the fixes.