On weekends, I usually travelled to different places with my baseball team to play games.
対外試合 = games against other teams/clubs/schools
遠征試合 = away games
練習試合 = practice games
選抜試合 = select team games
地域の大きな大会 = regional tournament/competition
「部活で対外試合(遠征試合)に行ってきました」 = On weekends, I usually travelled to different places with my baseball team to play games.