Mac drive not showing up on resetpassword screen
The drive is locked using FileVault encryption and cannot be accessed until you unlock the drive. This may be set to a master password of yours, and often is set a while back. You may want to try older passwords (or versions of them) to see if any of those work.

To unlock the drive:


Boot into the recovery mode
Launch Disk Utility
Select the drive in disk utility
Click unlock near the top of the disk utility window


Unfortunately, the drive will not allow you to boot into those options and/or work on it until you pass the encryption lock. It will require a password or for you to completely erase the drive.