If a player hits the ball to the right side of the infield so that the runner on third could score is that considered a sacrifice?

No, it is not considered a sacrifice unless the batter is advanced as a result of a bunt. Also, a fly ball that is caught is only considered a sacrifice if a runner tags and scores on the play. If a runner tags at 1B or 2B on the caught fly ball, and advances one base, it is not considered a sacrifice fly.