Yes, Redmi Y2 does have the support for Miracast.
Yes, Redmi Y2 does have the Mi remote.
Yes, Redmi Y2 does support the PUBG game.
Yes, Redmi Y2 can support split screen.
The Xiaomi Redmi Y2 is a slightly better attempt at a selfie-focused smartphone than the model it replaces. It has proven hardware that is capable of delivering a smooth user experience, plus MIUI 9.5 which has a lot of added features.