The protagonist seems pretty assertive at times despite being nervous. Curious and determined. The choices we've been given so far also seem to reflect that pretty well; they're all facets of the same personality.
I'm not sure. It's apparent that Adelaide, or Alice, has lost her memory of perhaps the last time she was here. Some of the others remember her and have memories of her, so I feel like perhaps she'll find those clues and piece together who she is.
The mood is strangely dark, even more so than the originals. I haven't read or seen any Alice in Wonderland movies, but here, it seems like there's a horror-themed twist to every aspect of the world.