Addressing #2 first, my father belongs to the triple-9 society (top 99.9% in IQ) and the IQ genetic issues are ones they discuss very regularly and in great detail. Many of the triple-9 members have multiple degrees in this area. I can try to gather up my notes on the topic and post them separately, but they are very aware of the issues of variables and have worked them through.
So just focusing on #1, replacement fertility rate. You weren't talking at all about deaths

You said -
"Barring other factors the replacement fertility rate would be exactly 2.0 children per couple. The fact that some people do not have children, while others have more or less than the �ideal� number is already reflected in the actual rate (for example, 2.1 in the United States). Thus the rationalization that it�s okay for a couple purposely to have more than two children, because this will be �balanced� by childless couples is invalid."
So you said that a couple could not have more than 2.1 children, that this was an absolute maximum in order to maintain an even adult population going forward.
But this clearly isn't true. If we had a small population to maintain - let's say 10 people. Let's say they are evenly male and female and they pair up. If we have:
couple 1: 0 kids
couple 2: 3 kids
couple 3: 1 kid
couple 4: 2 kids
couple 5: 4 kids
That would give a new adult poulation of 10 kids. We would have maintained. You don't have to hit a ceiling of 2.1 kids. That is an average - not a maximum.
It IS valid for some people to have more while others have less. That's the meaning of the word average

If everybody had a MAXIMUM of 2.1 kids we would end up with:
couple 1: 0 kids
couple 2: 2 kids
couple 3: 1 kid
couple 4: 2 kids
couple 5: 2 kids
and we would have a diminishing population.
The 2.1 figure is solely about the number of kids a given population of couples ON AVERAGE must have to create an adult population of 2.0 kids per person based on current mortality rates. It doesn't have anything to do with how many kids a family chooses to have or not have on an individual basis. It is solely about kid creation and kid death as they approach the age to create the next generation of kids.
In fact the replacement rate is higher in third world countries because their death rate is higher - not for any other reason. It doesn't matter if those families have more or less large families, it is all about the number of infants necessary to guarantee that 2.0 of them reach adulthood to start the next generation.