Take them one at a time, because each reading answers a different question and people run them together.
14.5V running tells you the alternator is producing. That is a genuine pass and you can stop suspecting it. It does not tell you the battery is accepting the charge — those are different things, and this is the confusion in what you have read.
11.5V after sitting is the important one. A healthy lead-acid battery at rest sits around 12.6-12.7V. 12.4 is about half charged. 11.5 is essentially flat, and getting there ten minutes after being charged means it is not holding what the alternator put in.
10V under the starter's load is then just the consequence.
So the shape of your evidence is: charging system fine, battery not retaining. That is a failing battery or something pulling it down overnight, which is your question 2.