Kate gets to know Lisa at the cafe and she gives Kate this info, yes. Lisa is mostly hinting, this is basically what she explains to Kate about what happened to her family to "fill in the blanks" with BB. Lisa does suggest that 1) Alice is single and, 2) that Alice generally doesn't go out of her way to be nice to people, so Lisa hints to Kate that Alice might be interested in her as more than just friends.
By the way, when I refer to
Kate I am referring to the MC of this game, Glamour,
not Alice's GF Kate from BB. That could get confusing. Kate from BB is not mentioned in the game... I think she's out of the picture.
I think DS likes it that people are worried Eric will show up in this game haha. I suppose it's possible, but his fate was pretty clear in BB, and there's nothing to suggest he might appear in this game yet, but I wouldn't be surprised if DS found a way for him to make a cameo, even as a joke. Who knows, maybe Kate and Julia will end up at the BDSM club where Eric is enslaved

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Re your mafia question: