@Shireen **************
schools don't submit the paperwork for you, they provide it TO you. You and the kids go to the immigration office (sometimes with a school representative, but sometimes not) and apply for the in country Non-ED visas
If you want the kids "piggy backed" onto your husbands visa (like you are) get someone from your husbands employer to go with you to the immigration office and see if you can get the kids Non-O visas based on their father having a long term extension