I don’t think Bae as Peter works. Bae is a sweet boy who just wants his father back and wants a normal life. Peter is a cocky show off who doesn’t have much of an understanding of compassion and always seeks out adventure.
Also, while I do love the movie Hook, I’d rather they didn’t go the route of a grown up Peter Pan. That would be sad- although it isn’t to say that won’t go that direction.
I am thinking more and more that Bae is Henry’s father. I think that would be a great way to connect those characters to the others.
I haven’t a clue who Dr. Whale is, but I get the impression he isn’t an especially heroic character. I don’t think Frankenstein fits in with the worlds represented in this show- but hey, you never know.