In New Jersey can my school district be forced to provide a recovery reading program to my private school child?

My son spent 2 years in Kindergarten in public school and he was labeled as a kid who wouldn't sit still and refused to learn. We fought to get him into speech once a week. We then gave up and moved him to private school where he has now been diagnosed with ADHD, multi sensory disorder, speech disorder, a form of dyslexia and depression. He needs a reading recovery program that the private school does not have and my residential district says they don't have to provide it as we moved him to private school by choice. His new school offers before and after school care as well as a more nurturing environment where they don't take away recess or belittle him for needing extra time to do work. He can stand at his desk to do his work, have assistance with reading his tests and other school work and is still part of the class. Public school may offer the reading program he needs but I do not believe putting him back in his public school would benefit him emotionally.