There's something else about refunds that I'm not sure about. Is it possible for me to get a refund if I change my name?
yes, that shouldn't be a problem, you will just need to surrender the vehicle plates at a DMV office and request a transfer receipt
There's one more thing to add to the Plate Surrender Application. You've got it. Is there anything else I need to do in addition to the removal?
Yes. Along with that, you nee to complete the Plate Surrender Application form PD-7 for each set of plates you present to surrender. When you complete that, you can proceed to mail both the application and the plates.