Boot menu not working
Your black screen, power light on steady, no chime: indicates the

POST / BootROM failure!


  BootROM
  
  When you turn on the power to a Mac, it activates the BootROM
  firmware. BootROM, which is part of the computer’s hardware, has two
  primary responsibilities: 
  
  It initializes system hardware and it selects an operating system to
  run. 
  
  Two BootROM components carry out these functions:
  
  Power-On Self Test (POST) initializes some hardware interfaces and
  verifies that sufficient memory is available and in a good state.
  
  Extensible Firmware Interface (EFI) does basic hardware
  initialization and selects which operating system to use.


I would suggest you update your EFI from here: