Hi Tientai, sorry that I only have time for one section of it:
◆5-1 天時 - Weather Conditions Forecast
Yes.
This is the first chapter, but seriously this is the least used forecasting in our modern times.
◆5-2 身命 - Personality Fate
Personal Fate
◆5-3 終身財福 - All life long richful happiness [fortune]
richful rich and happiness
◆5-9 子嗣 - Heirs [posterity ]
Offspring. Actually, in your Liu Yao application, I would prefer that "Offpsring" is used instead of "Child".
◆5-11 治經 - Governance
I thought it was "governance", but then it also means "study of the classics". You will need to see the contents of that sub-chapter to see which meaning fits better.