Have been using it since early Alpha days, and I like it a lot but it definitely is still lacking some of the polish of more established tools like Notion.

1. Does it work offline? Yes, it does. Your changes are saved locally and synced at the next opportunity. Obviously this can occasionally cause conflicts but in practice I've never had issues.
2. Does it have databases like Notion? Not exactly. I was never a Notion power user so I can't say how well they compare, but Anytype lets you define your own custom objects with custom relations (sort of like database columns) and link any objects together, as well as creating Sets of objects of the same type and Collections of objects of any kind. So I think in principle it can replicate all the features of Notion databases but in practice you'd want to change how you think about it to fit Anytype's model more easily.
3. Nothing like that yet, although they just open-sourced all their code and the devs are very active on the official forums receiving feature requests.