Runs means runs scored. Every time a player scores, by touching home plate, he is credited with a run.
Runs batted in and on base percentage.
Batted in, but its normally RBI - Runs Batted In
Runs
I do not believe there is an "RE" statistic in baseball. There is an "ER" stats and that refers to "Earned Runs".
No such category in baseball.
team
Position
caught stealing
Batters Faced.
Stolen bases.
Offensive Errors
It means Games Behind.