The nearest airport is in Incheon Intl. Airport (ICN), located 30.8 mi (49.6 km) from the city center. If you're unable to find a flight that fits your schedule, you could book a flight to Gimpo Intl. Airport (GMP), which is 10.3 mi (16.5 km) away.
It's easy to get around Jongno-1.2.3.4 ga-dong by jumping on the metro at Anguk Station, Jongno 3-ga Station or Jonggak Station.