Rodney takes a picture of Bret and Kwai from behind a glass window. But he used a flash which means that what he actually took a picture of was his flash (the flash turned that window into a mirror). Had he removed the glass from the window, he would have been successful in his ambition.
The women's rights group carries a defaced Arizona state flag -- although it was not designed until 1910, a good 25ish years after the setting of the program. The flag was adopted in 1917.