Although all guards (security personnel) have earphones, there's always a radio chatter audible.
As a handmaid, June is referred to as Offred. Mostly, the actors pronounce this as "Off red" instead of as "Of Fred" which is as it should be intended - she is "of Fred".
Throughout the show, June has blonde hair with dark roots, meaning that she dyes her hair. While never explicitly stated, based on the way the US has become, it's almost certain that handmaids wouldn't be allowed to dye their hair.