You could take it to a vfw and they would probably love to refold it for you. They may even refold it with ceremony. They can be great folks.
5”x9” seems quite small. Usually, a 3’x5” standard flag is presented to the family. Looking at my well folded 3x5, it would never fit into that small of a box.
Folks make display boxes specifically for flag and awards etc- two compartments with a 5 sided polygon shape.
That seems to be the consensus. Thanks for confirming.