As a follow-up, those messages do not appear if I change the plugin to use the Default AJAX engine instead of the lightweight, but if I do that, the chat is terribly slow and nearly unusable.
Having similar, but different issues, my chat is constantly posting the following in the messages window, and will not let any actual messages be posted:
Maintenance corrupted data: Unexpected token F
Server error: SyntaxError: Unexpected token F
My chat install is private, so I am unable to provide a public link to it.