No, you can't see if (and what) files were loaded from a Playlist.

[quote="ProfileX"]In the Now Playing window, is there a way to see what Playlist was loaded (for example if it was loaded from a script)?[/quote]

I don't believe so

[quote="ProfileX"]What's the purpose of the sort arrows at the top, when I click on the "Now Playing" column, the sort arrow changes from ascending to descending but the songs don't change at all. Clicking on the "#" column doesn't seem to do anything either.[/quote]
The sorting works fine if you add columns. Not sure why it doesn't sort by # or why there is a sort arrow there. I think "now playing" doesn't sort because it is a compound column. If you add album, artist and title those columns are sortable. or so it seems

In the Now Playing window, is there a way to see what Playlist was loaded (for example if it was loaded from a script)?

What's the purpose of the sort arrows at the top, when I click on the "Now Playing" column, the sort arrow changes from ascending to descending but the songs don't change at all. Clicking on the "#" column doesn't seem to do anything either.