Oh Alice is totally a RumBelle kid. She looks far too much like EdR, and Belle would absolutely name a daughter after Alice in Wonderland. And she’s working for Rumple in the flashbacks, and also has a relationship with him in present day. Totally their kid.
Rumple magically kept tabs on Henry when he was in “A New Realm” (*sigh*) and sent his daughter to do whatever she’s doing there with Henry because reasons.
If Rumple still has his memories as Weaver (which seams likely) then that can be explained because Dark One immunity. Maybe Alice inherited some Dark One genes from him, which offered her immunity to memory loss too. If she inherited magic from him, I can see them having always had a close relationship, which they’ve already established them having in just a couple of scenes in this first ep.
Rumple’s alternate persona being a cop who breaks rules to torture people seems to fit him pretty well.
Alice is great so far, she’s enigmatic and spunky, and I look forward to seeing more of her.