Cannot enter password in recovery mode to mount Internal HD (or reinstall OS)
I have tried the Apple store, Geek Squad, and many other community posts, to no avail. You all are my last hope...
Macintosh HD crashed when I reached the storage limit on my machine. I was prompted to force quit applications, but the screen was frozen. I did a hard reset, and when turning the Pro back on, it appears my Mac cannot locate the internal hard drive. In attempts to resolve, I am booting up in recovery mode. I have attempted to mount via Disk Utility, as well as reinstalling the OS (I was on the most recent, Mojave, prior to the crash). I also tried entering the password through the Terminal.
Here is the primary obstacle - I am unable to physically enter anything into the password prompt.
My priority is getting the existing data transferred to my external hard drive (yes, I should have done this beforehand).
Should I just consider the data lost and give up on any recovery/transfer to my external HD?
Screenshots attached.
Many, many thanks in advance.
MacBook Pro 13", macOS 10.14