Well

I'm thinking it was the "old" Dan-ah before 14 years old Dan-ah transmigrates.

Same thought, I think it was that Dan-I

That's the author, iirc, she's trying to recover ryeoryong's memory by touching her just like what she did to that red hair's father (woke up from coma) it seems she can intervene with the plot by writing something on a small piece of paper hidden in her fist and letting it touch the person she mentioned in the paper probably? Like "Ryeoryong will recover her memory"

OOOOOOOooooooh