Final answer:
The most appropriate next step is IV diazepam to treat the patient's seizures.
Step-by-step explanation:
The most appropriate next step in the management of this patient is A. IV diazepam, which is used to treat seizures. Given that the patient had convulsions, it is important to address the immediate seizure activity. The other options, such as oral phenobarbital, MRI of head/neck, LP, and IV somatostatin, are not the most appropriate next steps in managing seizures.