In answer to your third question: your client wants to be able to cope with temporary network problems anyway, e.g. let's say the user closes their laptop between meetings which hibernates it, or the network simply goes down temporarily.
The solution is to listen to onclose events on the web socket client and when they occur, set a client side timeout to re-open the connection, say in a second:
function setupWebSocket(){
this.ws = new WebSocket('wss://host:port/path');
this.ws.onerror = ...;
this.ws.onopen = ...;
this.ws.onmessage = ...;
this.ws.onclose = function(){
setTimeout(setupWebSocket, 1000);
};
}