Are there any plugins available for this? Does SoapUI offer plugins/addins anyway?
It is not clear what you are asking.
SoapUI generates a soapui.log by default in the current working directory. Basic information is available in the official documentation, under the heading "Tip 7) Read the Log".
As for plugins: yes there are plugins available, and described in the official documentation as well.
Update: If you are after logs of all the calls you made, then you need to launch the test runner with the -a or -A switch. As always official documentation is available for launching from the GUI or CLI.