

Here’s the first one.
Memorizing facts, dates, and formulas aren’t what necessarily makes someone intelligent. It’s the ability to second guess yourself and have an appropriate amount of confidence relative to your knowledge that is a sign of intelligence.
This passage implies that you can increase your intelligence by getting educated, learning facts, gaining more knowledge, receiving feedback and getting a more realistic understanding on what you know and don’t know. Based on some of your clarifications, that doesn’t seem to be what you intended to say.
IQ is just a number that tells you how good you’re at doing specific kinds of tests. It’s associated with intelligence, but it’s still a proxy metric. It doesn’t actually measure the thing we’re really interested in. We don’t even know what intelligence really is, or how to measure it properly.