My question is whether I can manage my Skype chats if I am not a host? Where can I find the list of all Skype commands?
I couldn't find any information about the Skype commands, but the developers have created a comprehensive page where you can see everything that could be done with the chat in the Skype application. Access the page to see how to manage and control the chat logs.
Skype FAQ: https://support.skype.com/en/faq/FA392/where-can-i-find-my-conversation-history-in-skype-for-windows-desktop-and-what-can-i-do-with-it