Apple-chan is definitely my favourite character so far. Feels like she's the protagonist and I'm rooting for her even though she's batshit crazy. Is Kan basically becoming a hired criminal? Or at least exchanging favours for the penguin thingy for money? There's been hints that he's probably up to some criminal stuff on the side such as the fact he's okay with a helluva lot of morally dubious things, stalking, breaking into people's houses (with the ability to lockpick) and stealing stuff, without much consideration or guilt. Also a bit of a playboy (but probably with a deeper reason behind it) and I feel like that's properly going to bite him on the arse sooner or later. Pretty obvious tried to injure/kill that girl on the escalator? That's the only reason I can think he'd be getting paid (and he obviously needs the money for the house and to stay with his sister). I guess pushing the woman was part of the penguin thingy's plan? There's a big theme of fate in this show so I'm guessing the penguin people are agents of fate who got something from the aquarium and now want the penguindrum? And they all have artefacts like the fate diary or the little penguins or the weird laser gun with penguin balls? This is all just random assumptions so I don't think it's likely to all be right but just my theories so far.
Anyways very enjoyable so far 9/10 would recommend ---