A:AnswerYes you can mirror images from smartphone via HDMI supported cable that is compatible with you phone. I have iphone8+ and purchased Apple adapter to HDMI CABLE at Best Buy for $40. I can mirror Netflix/Hulu/You Tube TV, etc. NOTE: some aftermarket HDMI adapter cables will not mirror Netflix/Hulu conten due to encryption protection in place by service provider.
A:AnswerAlthough I don't remember seeing that spec in the manual, nor have I tried hooking up some gaming console to it. If you're looking for something to pair with your gaming (PC/Consoles), this TV probably isn't what you're looking for if you're asking for lag. But if you're only going to be using this to watch sports in a spare bedroom or something, it'll probably work fine. [Remember this is only a 60Hz TV and not even a 120Hz for the higher speed sports]