Is "schooling" correctly used?

A clause on the Education Ministry’s website states that a child who is successfully registered in a school based on false information given will be transferred to another school with available vacancies after all eligible children have been registered.

The child is still schooling at the said school.

A MOE spokesperson told TODAY they “will decide on the best course of action for the child at a later stage” as the couple has 14 days to appeal against their sentence should they require.

1. Is "schooling" correctly used?
2. Should it be "an MOE" instead of "A MOE"?

Thanks.