The registration information required by the police station is the information record that you registered with the police station with relevant information (personal ID card and school certificate). You haven't registered your residence permit before, so you can't find the relevant registration information.
The information record mentioned by the school mainly means that you can prove that you are a student of the school, not the residence permit registration information mentioned by the police station.
In general, it is recommended to consult the local police station on how to register and provide relevant information before applying for a residence permit for the next 6 months.