Yes they should light up with the lights. You should also get a letter or number if you use manual mode in the DIC bottom LHS of the screen.
I can only go by my 2012 CDX diesel and it has the letters backlit and also the traction control and window switches. It is midnight here and I went out and checked just now. The steering wheel controls are backlight as well.I know there's an indicator to the gear in the DIC, but I didn't think there were lights on the shifter or base around it.