I'd suggest you start with something like this. You'll have more fields, but start by loading these, and you'll see whether it's workable.
Code:
tblPlayers
PlayerID Autokey
PlayerName Text
tblTeams
TeamID Autokey
TeamName Text
tblSeasons
SeasonID Autokey
SeasonYear Date
SeasonDesc Text
tblPlayerStats
PK Autokey
SeasonID FK to tblSeasons
TeamID FK to tblTeams
PlayerID FK to tblPlayers
PositionID FK to tblPositions
StatCode FK to tblStatType -
StatValue Number - possibly currency if some stats will be decimals.
StatNotes Text
tblPositions
PK AutoKey (optional)
PositionID Text, Indexed Key (abbreviated name of Position)
PositionName Text (full name of Position)
tblStatType
PK AutoKey (optional)
StatCode Text, Indexed Key (abbreviated name of Stat)
StatName Text (name of stat)
StatDesc Memo (full description, including how calculated)