Yes, I have two vaults (one work-oriented, one completely personal) and frequently switch between them. Whenever I do so, I use a homepage plugin that always opens the same "root" note. You can vibe-code this plugin within minutes if you prefer, it's literally all that it does. Or you can have that note pinned to the sidebar and skip the plugins entirely, up to you really.

> How can I get those lists?

You need to be able to embed queries into your notes. Either you use Bases (first-party plugin) or Dataview (third-party plugin). The second one is a little more ironed out as of now, so I keep using that (but will probably migrate in the future). For the first two lists you create queries that simply look at file's creation/modification time. For the third one, Obsidian gives you an option to "star" a note, so you query for that.