Does the vehicle move at all under its own power in 2H, 4H or 4L at all?
We're using terms like "goes into gear", "goes into 4H or 4L" but that isnt the same as actually moving so be specific and explicit when describing your symptoms.
If you do have movement in 4L/H but not 2H then you have a transfer case or rear diff problem. If you dont have any movement at all, regardless of what range position you select on the shifter or transfer case shifter/push button selector then it can be either t case or transmission.
