I tested this to confirm and have determined that there is a delay between turning your discord widget on enabled inside your discord server settings and it actually enabling and displaying on your website widget. So please go into your discord server settings inside the discord app and make sure the widget feature is enabled there. That will update over the next few hours and begin displaying on your website.
As for the Twitch widget, there is definitely something not working there. I am looking into this now and will let you know!
We've determined the issue and fixed the Twitch widget.
Long story short, there was an error that was not being handled and halting the entire process. That's now working properly. Unfortunately due to the limitations of the Twitch API, your Twitch status on the widget will have some lag between you going online and the widget displaying that. It should never take more than an hour and if you get lucky by coincidence it could possibly update in seconds. Really just depends. We may consider increasing the speed that this cycles, but we always have to tip-toe around rate limits.
Anyway, your Twitch widgets should start working properly again!