Plex wont work with familys tv,lg web os

That is an LG error. We have no control over that.

That first Plex message is harmless, it just means that a Plex device couldn’t be found. This is used for identifying other players so you can use one Plex client to send playback to another Plex client.

That second error is a result of the loss of network connection, not a cause so that would be expected to see if the TV losses connection.

I my experience. I’ve seen lots of issues with the WiFi on LG TVs. Not sure if it’s an interference issue or just a bad WiFi card on the TV. I get that from time to time on my own TV, even when not using Plex. If possible, use the wired connection. That works much better.