It would be impossible to get navy blue overalls bright white with a small bag of hydrogen peroxide, only soaking them for a short time, in a small amount of water. That kind of bleach job comes out looking like tie-dye.
The goof item below may give away important plot points.
Haywire follows the escaping G.I. and holds a guard's walkie talkie as a threat. However, as soon as his threat worked and he is "in" the group, he drops the walkie in the next shot. A second later he holds the walkie talkie in his hands again. Also, when dropping the walkie, the others could have jumped on him and do whatever they wanted to stop him again.