If you look closely at the message from the scammer the Facebook page says Fairfax COUNTRY, not County.
“Please be aware that the person is using a logo and photos from FCPA but is NOT affiliated with FCPA or Fairfax County. FCPA and Fairfax County will never friend request you or send you prize information via Facebook message. Please stay alert and do not fall victim to this scam,” says the Fairfax County web page.
For more information contact the Public Information Office at 703-324-8662.