Furret - Chesire Cat
Pikachu - Dormouse
Wartortle - Mock Turtle
Buneary - White Rabbit
Vespiquen - Red Queen
Caterpie - Caterpillar

What are Shaymin, Dodrio, and Darkrai?

croquet ball & croquet mallet (hedgehog & flamingo) for the first two

I'm pretty sure Dodrio's the flamingo croquet mallet and Saymin's the hedgehog (ball). The Combee's are obviously the queen's gaurds (and if you look closely, you can see the card signs on them). I'm gonna guess Darkai's the Mad Hatter.

I actually forgot Alice was Alice and left the tag out, lol.

Maybe Darkrai's that Hare w/ the Hatter? (thnx, IHC )?

Oh yeah, there was a March Hare in the story, right? I guess Darkrai is the March Hare.

Source URL was pixiv #3543549. (bad ID)