Here's a long shot answer ;). It may or may not work, but it will give you something to try if you want.
The remote looks the same as the EW5000 model, and according to
this JP1 remote upgrade file, it uses NEC1 protocol with device number 129 and subdevice number 245. You can use that info to generate all 256 different ir codes using
Makehex and try all the codes to see if any of them are discrete codes. Before you try that though, be warned that most likely the device won't have them and you'd spend a lot of time trying all the codes without discovering anything new, and some devices have codes that might reset the device or take you to some service mode that you can't get out of.
Since you have to have either Keymap Master or Remotemaster to read the upgrade file, below are the list of functions and function number listed in the file, so you don't have to go through installing either of those programs. You can use those to test known functions to see if EN5000 actually uses the same protocol, and then skip over those function codes if it does.
Arrow-down = 0
Arrow-up = 1
Select = 2
Arrow-right = 3
Arrow-left = 4
Shuffle/Repeat = 8
Print = 9
Search = 10
Home = 11
Options = 12
Control = 13
Play = 16
Power = 17
FFwd = 18
Next = 19
Stop = 20
Display = 21
Page-down = 24
Rewind = 25
Page-up = 27
Previous = 28
Pause = 29
