You cannot play Wii Sports Club with only a Wii Remote Plus. The game requires Wii MotionPlus (built into Remote Plus or as a separate dongle on original Remote) for its enhanced motion tracking.
Wii Sports Club uses 1:1 motion for golf swing, tennis serve spin, bowling release, boxing hooks—precision beyond basic accelerometer. The original Wii Sports worked without it; Club does not.
If you have a Remote Plus (black model, "Wii" + "MotionPlus" text on bottom), you're good. If it's an original white Remote, buy the $5–$10 dongle.