His mother, Adrianne Landsman, 56, of Gresham Road, Edgware was charged with one count of child neglect.
Ben's father Larry Lewis, 55, of Lullington Garth, Borehamwood faces a single charge of perverting the course of justice.
The charges were not put to the defendants.
Ben Lewis was arrested in August after LL Camps, which was popular with Jewish families in the area, was closed down "with immediate effect" and had its registration suspended by Ofsted.
Shahida Parveen, of the Crown Prosecution Service, told the court that there was a link between the indecent image charges faced by Ben Lewis and the later charges faced by the four defendants. She said it made sense for all charges to be heard at the same time.
The magistrates agreed and the case will heard at St Albans Crown Court on October 23.
Ben Lewis was remanded in custody. The other three defendants were bailed.