it means a player hit the ball over the outfield fence and he gets to round the bases and score
I am almost positive that H.R. in baseball means home run
It means they had sex.
'Give up a home run' is a term for a pitcher who has thrown a pitch that a batter has hit for a home run. When a batter hits a home run you might here the announcer say 'That was the 4th home run given up by [pitcher] this season'. That means the pitcher has thrown four pitches that batters have hit for home runs.
The player had 4 hits in 5 at bats during the game and 1 of those hits was a home run.
It means something that you value.
That he plans on hitting a home-run.
It means that the couple dating had sexual intercourse?
It refers to a home run that immediately ends the game. This can only happen if the home run gives the home team the lead in the ninth inning or in extra innings. If it is in the top of the ninth, then it does not immediately end the game. The home team gets another at bat