A couple of comments here...
Does the flash work when you put it in the hot shoe of the camera?
Second... Nikon's CLS system doesn't require a trigger for off camera flash...
Set the camera for commander mode, and just turn the SB-600 on...raise the flash on the camera and with the camera/flash withing 30' feet of each other (it's line-of-sight) take a picture... the flash should fire.
If you want to use the triggers, without attaching either the remote or the trigger, when you test fire the remote, there should be some indication that the trigger fires... double check that the two are on the same circuit/frequency and are in sync.
If the remote/trigger work without being attached to the camera or flash... but ddoesn't work when attached to the camera, my first impression is that it's not compatible with Nikon's flash, unless you know otherwise...