Full marks!
You can clearly see how you’re utilising the full potential of the tube.
(As far as knowing what to do, the exercise is looking for a load resistance that gives the ‘best’ impedance bridging into the 16k@10kHz input impedance of the following device with the lowest parts-count that we can get with an off-the-shelf tube, knowing also that the 16k is the lowest input impedance of the power amp device, and so if we can get a reasonable impedance bridge for that, it might not sound too ‘muffly’)
Also, we're dealing with a cath0dyne which has unity gain, so the gain of this stage is no different whatever tube you're choosing, and it might as well be a tube that is capable of driving a low R load line - so 12AU7.
The output impedance of the driving stage and the input impedance of the following stage form a voltage divider that attenuates the signal. So 5k6 is the upper leg and 16k is the worst-case lower leg (for each output of the cathodyne). Usually (with any impedance bridge), a 1:5 ratio gives reasonable bridging without too much loss, and here we’ve got about 1:3 so there will be some loss at 10kHz (but still not too bad, as the device’s input impedance for lower frequencies that you find on a guitar fretboard is higher, so the signal attenuation won’t be as bad for what we normally expect to hear). Having noted all that, it’s all theoretical until you get it operational, so will your ears like the result? YMMV