You should really try Amazon Prime Video on Android TV; you'll learn to appreciate Netflix, a LOT at that...
Netflix is definitely guilty of mishandling "continue watching" though, not even showing everything I've watched recently while insisting on keeping things I haven't touched for months easily accessible.
The noise thing, I believe, has to do with your settings though, because the only thing I hear, other than what I'm watching, is the app opening sound with the NF logo.