Mat vs Gawyn and Galad is definitely at the top.

I also really like the Mat knife fight after leaving the "hell" with Tuon.

Min might know if she was conscious and processed Semi's reaction.

AS in general will wonder how he got loose from the Domination Band.

But he didn't explicitly discuss it onscreen.

Rand also asked Dyelin and other Andor noblewomen carefully about his genealogy and Andor family trees because he was scared of cosanguinity to Elayne. He's shooting to give Elayne the Sun Throne because of the Damondred connection.

So, he knows about Galad, I think, unless he's failed to put it together, which is very unlikely.

Galad doesn't know about Rand. Apart from his half-aunt and a few other AS and Aiel WO (who don't know who Shael was), nobody does.

 

I agree that he likely knows about Galad, but he really couldn't care less. Galad has been nothing more than an inconsequential name in his universe thus far, though that might certainly change in ToM or MoL.

 

I'm curious if Rand actually KNOWS he channelled the TP and whether or not he knows what that signifies. In the books, he seemed to simply recognize it as this 'other' power source, and never really seemed to explore or even consider after the fact the ramifications of that.

I disagree. I think he does care. He realized he had a half brother and he certainly took time to ask questions about the people in Caemlyn that he looked like. We will see hopefully. Perrin is headed back towards Rand and brings Galad with him.