Those are just the queries and not errors, are irrelevant.
Have reviewed your install and your Joomla release is significantly out of date (1.5.14). Please upgrade to Joomla 1.5.22.
CB configuration your Registration Reply To Email Address is not a valid address. Please configure to a valid email address.
In plugins management you appear to have enabled all plugins. This should not be the case. You do not have YANC installed thus the plugin should've remained unpublished. Same applies to Private Message System (you've no supported PMS extension installed), mamblog which isn't available on j1.5, and forum integration (no supported forum extension installed). The connections tab was also enabled, but connections in CB configuration was no.. disabled the tab and plugin. The author plugin was enabled, but that tab was disabled and have disabled the plugin.
Super Administrator privileges were not provided so was not able to review your SEF issue, sorry.
You also have AEC installed which is known to alter core files. We do not support AEC and is likely could be the cause of your issue. CB does not support custom groups internally except in cases of Joomla 1.6.x usage, which you do not have. I can not help you with this extension installed, sorry. Your installation is compromised.