Troubleshooting
The recorder cannot see my microphone
That is the browser withholding permission, not Cast. Click the padlock or settings icon next to the address bar, allow the microphone for this site, and reload — the device picker on the Record page then lists everything the browser can see.
If the right mic is listed but silent, check the input meter while you speak: no movement means the operating system is pointing at a different device, or the mic is muted at the hardware level.
One thing to know: the device cannot be switched mid-take — pick the mic before you press record.