what size ballast resistor
I have 3 ballast resistors here. I don't know exactly what they are supposed to be but I would assume they are all the same resistor because they all measure within .1 ohm of the same. Between 1.1 and 1.2 ohms. Taking into account the resistance of the test leads of the meter (which is apparently .15 ohms since it shows .15 ohms when the leads are touched together) the resistors themselves are actually measuring about 1 ohm.
As far as the difference between the 1.2 or 1.35 goes. That little difference wouldn't be enough to hurt but if you tried running a lower value like the .25 ohm used with the gold box it would be too much difference. The standard resistor tollerance is 10%.
To answer you question. Either one will work fine.