Frankly,  I find logic hard. It feels intuitive, but I must really work to put terms on the mechanics.
I don't think anyone masters this stuff. Did you know there is fallacy fallacy? It means dismissing an argument because there is a fallacy. Actually, an argument could be fallacious AND true!
And yes, paraphrasing is important. And in your own words.  Not a repeat of theirs. Many social workers do this and some clients get really tired of it because it seems phony.

Good discussion.