J-3 Cub as second plane?
You should be able to fly the cub as long as you keep a few things in mind. Cubs, like trainers, have a very light wing loading. Cubs however must be flown differently than a trainer plane and are not nearly as forgiving if you make a mistake at a low altitude.
First, you must use rudder along with the ailerons when turning. Cubs are very suseptable to adverse yaw, which would most likely occur if you attempt to turn with ailerons only. You can practice and get into the habit of using rudder on your trainer.
Second, despite very light wing loadings, some cubs can stall abruptly and drop a wing and sometimes even fall off into a spin. This can be avoided by learning the stall characteristics of the airplane and avoid stalling it at a low altitude.
Finally, some cubs want to bounce on and on when landing. This is something you will have to get a feel for.