Sun-->moon-->room-->illumination
This series requires a fundamental/principal cause. Others are instrumental in relation to it.
But this is NOT the causal sequence. We have light produced from the sun. That light travels to the moon and is reflected. it then travels to the room, illuminating it.
You leave out the most important part: the light.
if the sun goes out, it would still take a bit over 8 minutes for the light from it to travel to the room. So the room would stay illuminated for that 8 minutes even if the sun does not exist.
John-->John Jr.--> John the third
Causes in this series do not essentially depend for their efficacy on the activity of preceding causes.
The 'efficacy' of the moon in the previous is only in its ability to reflect light. That ability does not depend on the existence of the sun. It *does* depend on the existence of light. And, if light is available from some other source, it will also be reflected.
The efficacy of the sun is only in its ability to form light. it does so through nuclear reactions. Those nuclear reactions are possible because of the temperatures and pressures at the core. That, in turn, is due to the mass of the sun and its gravity. That, in turn is produced from the gas cloud from which the sun formed.
it is the light that is the causal agent of the illumination.
In the case of the John's, John transfers DNA to the egg from which John II is developed. That DNA then multiplies and is transferred to the egg from which John III is developed. Unless that DNA is transferred, John II and John III don't even come into existence.
Again, I fail to see a meaningful difference: which one requires an uncaused cause? Which one does not?