I think there should be all the league's categories for the relevant players. For example, one of my leagues has the Batting Catergories:

H, R, HR, RBI, BB, S, TB, AVG.

and the Pitching Categories: W, OUT, K ERA, WHIP, QS, SV+H

When clicking on the 'notes' icon next to player, each league-relevant category should be displayed, presenting the season total for each.

It would also be useful to see each player's entire game log instead of just recent games.