The medical condition that the first suspect (at the beginning of the episode) describes as having is real. It is called hyperhidrosis and causes people to sweat more than usual (excessive perspiration). This occurs in about 3 percent of the population and 6 percent of the Asian population.
After the suspect is identified, his photo is shown on a poster with the word WANTED above him. The actor that played the suspect, Lee Tergesen, starred as a Deputy US Marshal in the TV show Wanted (2005), where he and a team of cops looked for wanted criminals.
Lee Tergesen (Marcus Gates) and Michael Mosley (Jerry Tyson) also worked together on Longmire (2012). Lee Tergesen played Ed Gorski, Deputy Vic Moretti's former lover/stalker. Michael Mosley played Sean Keegan, Deputy Vic Moretti's husband.