The reason you would want to bring that plane out to your DUT is to know the phase information of that device, otherwise just leave it alone and use the factory cal. Here is how to calibrate the RigExpert AA-600 series antenna analyzers.
First turn on your analyzer and let it warm up for 30 minutes. This helps to satisfy the RF test engineer in you. Next, simultaneously push the F and 8 keys to enter into the CAL mode. Then attach the open cal standard and press the 2 button.
Continue to enter in to the calibration mode to measure the short and load standards. You'll have to go back into the cal mode each time a sweep is run, F + 8.
While it doesn't matter what order you perform the cal, it makes it easier if you establish an order so that your brain is always progressing through in the same order, 2, 3, 4; open, short, load.
You'll need to push the run button one more time to show that the unit is calibrated. When that sweep is complete you will see a CAL symbol in RED in the lower right hand corner of the display.
Using any balanced load requires the use of a balun or at least a binding post adapter.
Calibrate it the same way using discrete cal components. For the open, just leave the binding posts screwed down without anything in there. For a short, I flattened out a round copper shield from some 0.141" semi rigid coax. You can just use some flat strip or copper. I glued a "handle" on mine.
The 50-ohm cal resistor I got from a hamfest directional coupler that was broken or so they said.
If the resistor is undamaged, it is guaranteed to have better than 42dB return loss by HP cal standard protocol. Good enough for me.
Once the calibration is complete you can then proceed to some measurements. One drawback of the AA-600 is the lack of being able to save cal sets into memory. There are 90 sweep and 10 TDR memories. It would be nice to be able to save cal sets as well.