[Mick]

Only one pitcher has led the league in both wins and losses in the same year. Who was that pitcher?

Early Wynn or Phil Niekro

Phil Niekro indeed, who went 21-20 in 1979.

Next question: which batter had the most MLB ABs without getting hit by a pitch?

It's a little obscure, I'll just answer it. Mark Lemke, 2nd baseman for the Braves had an 11 year career with 3,664 plate appearances. Sort of the anti-Ron Hunt, he was never hit by a pitch, not once. Not a great hitter either (lifetime .246/.317/.324/.641).

Mark Lemke Stats, Height, Weight, Position, Rookie Status & More | Baseball-Reference.com

This one's a little more interesting. There are 87 pitchers in the Hall of Fame, although Babe Ruth and John Ward are in the HoF primarily as hitters, and Hank O’Day is actually in as an umpire (he's a St. Mary's grad...figures). 

Of the 84 pitchers in the HoF, 17 led the league in losses at least once, six led the league in losses at least twice, and one HoF pitcher led the league in losses four times.

Trivia:

Which HoF pitcher led the league in losses four times? 

Which six pitchers led the league in losses at least twice? 

Bonus question: three pitchers led the league in losses and were still named to the All-Star team. Who were they?

[Mick]

Only one pitcher has led the league in both wins and losses in the same year. Who was that pitcher?

Early Wynn or Phil Niekro

Phil Niekro indeed, who went 21-20 in 1979.

Next question: which batter had the most MLB ABs without getting hit by a pitch?

It's a little obscure, I'll just answer it. Mark Lemke, 2nd baseman for the Braves had an 11 year career with 3,664 plate appearances. Sort of the anti-Ron Hunt, he was never hit by a pitch, not once. Not a great hitter either (lifetime .246/.317/.324/.641).

Mark Lemke Stats, Height, Weight, Position, Rookie Status & More | Baseball-Reference.com

This one's a little more interesting. There are 87 pitchers in the Hall of Fame, although Babe Ruth and John Ward are in the HoF primarily as hitters, and Hank O’Day is actually in as an umpire (he's a St. Mary's grad...figures). 

Of the 84 pitchers in the HoF, 17 led the league in losses at least once, six led the league in losses at least twice, and one HoF pitcher led the league in losses four times.

Trivia:

Which HoF pitcher led the league in losses four times? 

Which six pitchers led the league in losses at least twice? 

Bonus question: three pitchers led the league in losses and were still named to the All-Star team. Who were they?