You should enroll your child in the public school near your home. It is unlawful for the school district to refuse educational services to a child living in their district without having provided due process. You should request that your child be assessed by the school psychologist for the purpose of determining what special education services he will need and is entitled to. The school is not likely discriminating against you based on your nationality, the school actually receives extra funding for special needs children and children whose first language is not English. It is not clear how old your child is or what his disability might be. Public schools cannot refuse you service because you are not an American citizen or an American National. You can file a complaint with the NC Department of Education. You can also hire a special education attorney who will insure that your child gets the educational services they are entitled to. You can find an attorney here on Avvo or by calling the local bar association.
Best of luck.
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