Brock,
You may have missed a key step in equipping clubs (or balls, for that matter): Before you can equip a new club, you first must unequip the club you are replacing by dragging it down and off the equipment tray. That will create blank space. Drap the new club to that space, then hit save.
If you weren't at the right level for the club, you couldn't have purchased it in the first place.