1. My theory about the missing collectibles is this
<snip>
d. If collectible is randomly chosen from the 4 tablet collectibles, and they have already been collected (or that particular one has already been collected) then no collectible will show up.
I have a full tablet collectible (Full ALL collectibles) in one tribe, but I've never missed a rare except once in a blue moon.
My method is do grab a child, then push '4' on the number pad to look for turtleshells. Then '9' to look for coral. If tablets aren't complete, I'd push '2', also, while never letting go of the child. Then I examine each region (defined by my twisted mind) around each number on the number pad, so that each region I search overlaps. I never pause unless I've already found my collectible.
However, sometimes I open up my game and see him doing everything BUT embracing, and the population is well below the limit and there are fertile females about.
I've noticed that villagers seem to have a job they prefer, just as CFII has stated that each villager learns at a different speed. It could simply be that the villager, while not having a dislike for the job, is not proficient at it, and needs more skill to take it up on its own.
This part of the game is kind of opaque to us without input from the devs, though, and is guesswork on my part.
b. Is it not also a magic power that enables the chief to bestow skills upon children?
I don't think this ability, or the leadership 3 ability, are magical at all. They have perfectly normal explanations. Teaching is teaching after all, and you can do it without magic. Also, the fluff text for Leadership three says the chief can "help a child locate a rare collectible," not that he uses magic to create one.
I think the magic food is the only explicitly magical ability that the chief has. (Outside things like the rain dance.) It could be that the magic helps his audience be taught - but a teacher still needs to be a teacher to impart knowledge.
It's just rare that I actually SEE a single sick person, much less a bunch.
You could try leaving the fire out for a while. I agree that sickness is much rarer while the fire is burning.
6. One more thing, in the hints and tips for this game, it says that children can inherit some skill from their parents, but this is totally not the case.
6. I'm pretty sure that I've seen kids appear with smidges of skills that they didn't get from the chief's lectures.
I've seen this as well. In villages that got neglected for some reason, there are still enough skilled villagers to keep it going, born from the parents. (Though MANY slackers appear, too, many more than in VV1 and VV2.) Having parents both highly skilled in the same skill would probably increase the chances of this.