I have closed my case with the Ajman Court but is...

If the case against you in Ajman was closed, and it still appeared before the General Directorate of Residency, in that case you can refer to the court that issued the ruling to close the case in order to obtain a certificate of the final position of the case.
After that, you can submit that certificate to the General Administration of Residence to make sure that the case has already been closed.
This certificate must contain several data, including:
Your Name
Case number .
The final position of the case.