From what I remember with the van running the compressor should run until the van is level based on the rear level sensor.
Once the van is level by the rear shocks adjusting the ride height or by you jacking up the rear of the van until its level the compressor should shut off.
This being said how are you jacking up the rear of the van? are you jacking up the body or the entire vehicle rear suspension and all?
If you jacked up the van by the suspension and tried the compressor by running the van the compressor should have started running and stayed running. because the sensor would show the van is not level.
here is a link to the sensor that controls the ride height
http://www.ebay.com/itm/Level-Contr...ash=item418be663e0:g:mQkAAOSwgQ9V59Sl&vxp=mtr
To test the system you would need to start the van with the van on the ground, and the compressor should start running, then jack up the rear of the vehicle by the trailer hitch if you have one until the van is level or the compressor shuts off.
For now keep it simple attach the line with the old dryer and test the shocks,lines,compressor and dryer for leaks.
Use a spray bottle with water and dish soap. look for bubbles.
Running the system for testing purposes with the old dryer will not hurt it anymore than it has been with the system open to the elements.
You need to find out first if the system works as it is designed, you need to find out if you have any leaks. and you also need to find out if the rear springs are sagging like I suspect.
Remember I believe the rear springs control the unloaded ride height, the compressor normally wouldn't need to run unless you have cargo in the back or if your towing something.
I cannot tell you about the 5 second run time your getting, it may sense no load on the compressor and shut it off automatically.