A:AnswerThe built-in chromebook player works fine. It doesn't have a name.
If you prefer, there are several stand alone players and browser plugins like VLC available from the play store for Android or specificaly for chromebooks.
A:AnswerIf you mean recording live music, yes you can attach a usb microphone and store the files on the limited local storage available. However, chromebook has no giant hard disk. It is intended to store media in the cloud. It will work fine with any of the various music services as long as you have internet access.
A:AnswerAn open box means that somebody opened the box. It doesn't necessarily mean it is used, just that the box was opened, however, you do not know if someone used it. I have never taken the chance with an open box just because of that. You still get the manufacturers warranty on an open box item