Change your passcode, and change all passwords, due to the security breach here.
Among the more recent of these, that $10 would have been cheap, given the cancelled subscriptions, the deleted mail, deleted data, deleted (precious!) photos, and repairs and cracks from drops and dunks and other mishaps, as well as other mayhem.
One of the folks was fond of handing aniPad to a little one I’d previously witnessed shredding eyeglasses and other equipment. That all ended as expected; badly.
You can put purchases behind passcodes and other steps as suggested above, but more than a few of the little people already have the passcode, or can or will soon regain it. And if they’re aware of the device passcode, they’re probably soon also aware of the local password store.
As for the reimbursement, the decision that the folks that work for Apple make is theirs and theirs alone, and is final.