Live chat is not working

A live chat on Facebook? How does that work? Facebook doesn't have chat rooms.

Xbox support works with live chats and phone chats, they don't have email support.

Hi,

There currently is a service issue affecting party chat. They're actively working on getting it resolved now. In the meantime I would suggest you keep a look out on the service status page or sign up for a text message to be notified when the issue is resolved
here: https://support.xbox.com/en-US/xbox-live-status

-Please try hard reseting your console (hold the power button on the console for 8-10sec. , and power back up) that seems to help resolve it for some users.

I made the suggested changes to my router. We'll see if this works tonight when my friends are back online. However, I'm a little doubtful since i have tried joining chat through the xbox app on my phone as well through my phone's data and it does the
same thing...icon lights up when i talk but no one hears me

Have ou checked if you have an Open NAT? because a closed or moderate one can give you various issue and chat problems are one of them.

Check this link for a complete list of ports you must open: https://beta.support.xbox.com/help/Hardware-Network/connect-network/network-ports-used-xbox-live