Just a FYI...TITLE 4 - FLAG AND SEAL, SEAT OF GOVERNMENT, AND THE STATES CHAPTER 1 - THE FLAG
"Title 4 of the USC (j) No part of the flag should ever be used as a costume or athletic uniform. However, a flag patch may be affixed to the uniform of military personnel, firemen, policemen, and members of patriotic organizations. The flag represents a living country and is itself considered a living thing. Therefore, the lapel flag pin being a replica, should be worn on the left lapel near the heart."
Flag patches sewn onto sleeves are allowed and are part of some uniform designs, but they should be sewn on in a particular fashion. On the left sleeve, the union component of the flag (the stars) should be to the viewer's left, while on the right sleeve the union should be on the viewer's right. This is designed so that the flag is facing forward and appears to be streaming back as the person moves.