I see. As to the live wallpaper, tit is completely possible that the tablet doesn't allow for live wallpapers on it. Some are like that.
However, to be sure, you may have to try accessing it through a different route. Most would just tap and hold on the home screen and look there, but some devices do not allow for access to them that way. If you haven't, I would try going into "Settings" and then "Wallpaper" and see if the option for live wallpapers is listed there.
As to the game, if it is from a place other than play store, then that could be the cause. Not all apps will work on all devices. Have you checked the requirements for the game you are trying to install? What happens 'exactly' when you try to download it?