You reckon'ed incorrectly.
Home Run, JP! "Take me out to the Holosuite" is correct.
The clues:
#1 trading insults--Solok and Sisko did this.
#2 multiple injuries--DS9 staff suffered a variety of injuries during practice.
#3 inspiring speech--This came from Sisko to the potential team members.
#4 a lethal pastime?--Worf twice made reference to killing opposing players.
#5 protest--Sisko, Worf, and Solok protested decisions by Odo the umpire. Also, Niner team members wanted to boycott when Sisko kicked Rom off the team.
#6 new vocabulary--Niners studied the terminology of baseball trying to learn the game.
#7 celebration--Niners celebrated a single run on the field and later at Quark's bar.
#8 not really there--The crowd at the ball game were not really there and were turned on and off and on again.
#9 fun with flavours--O'Brien infused his chewing gum with the flavour of scotch.
#10 bad call--Worf thought Odo made a bad call and wanted it reversed.
#11 old rivalry--Sisko and Solok had a rivalry dating to their days at Starfleet Academy.