I'll address 2 first because it's more straightforward: the way to sync play counts from Android to MusicBee is to use last.fm. MB can import last.fm scrobbles, and many Android players support scrobbling, directly or with the help of a scrobbling app.
As for the playlists, there's a top level and a secondary level (the [.] button). It's true there are no more levels. However, at least in the case you've shown, a lot of what you're doing with deeper levels could be accomplished by directly removing unwanted tracks from the playlist. This adds them to the list found under "remove files", and they will never appear in the playlist unless you edit THAT list. Likewise, you can manually add tracks to an auto-playlist and they will go into the "add files" list.
Assuming that all the rules of that playlist are structured similarly to your rules for Metallica, you could accomplish it like this:
match all:
Rating greater than one star
Artist is any of <list of artists>
... and remove unwanted albums