A:AnswerNo, this TV doesn't have AirPlay nor Chromecast built-in.
However you can connect an Apple TV box and a Chromecast device to the HDMI inputs on the TV.
A:AnswerMaybe. Are you talking about the ability to cast from another device to the TV? If yes, it is possible with an app. I have cast from an iPhone to the tv without issue. I’m sure there’s an android app too.