One high school administrator said the district told her to change school policy in what may have been an overstep.
Craig was rated an F by the state last fall and its charter was not renewed.
The attorney representing the students and families suing the school accused the charter network of delay tactics.
The district adopted new high school review process in the wake of a graduation scandal at John F. Kennedy High School last spring.
The charter school provided two annual reviews after criticism from a group of parents. But a member of that group says the reviews are not comprehensive enough.
The charter group challenged the outcome of a school board vote earlier this week and also requested the superintendent allow the charter group to keep control of the school.
Nearly 40 parents delivered a letter to school administrators asking that special education audits be made public.
The New Beginnings Schools Foundation has asked a court of appeals to review a lower court decision keeping it in the lawsuit.