Wii Sports & Wii Sports Resort do not have simultaneous 2-player split-screen. They use turn-based or sequential multiplayer.
Wii MotionPlus required for Resort (built-in or attachment). Standard Wii Remote won't start activities.
For true simultaneous split-screen action, look at Mario Kart Wii, Smash Bros. Brawl, New Super Mario Bros. Wii.