I'm afraid I'm not fully understanding your question. Can you give us more information? I understood you want to create another Joomla site on your server, and if that's the case our guide will help you to have two different independent Joomla sites on the same server.
We have a Support Tool that will gather relevant information for us to analyze your configuration and logs. Could you please execute it on the machine where the stack is running by following the steps described in the guide below?
Please note that you need to paste the code ID that is shown at the end.