Não tenho certeza para que serve a data, mas que tal usar os agregados regulares?
SELECT
MIN(`Date`) AS `FirstOfDate`,
MIN(`Time`) AS `FirstOfTime`,
`HomeMatchingId`,
`AwayMatchingId`,
`RunningStatus`
FROM `20121202`
GROUP BY
`HomeMatchingId`,
`AwayMatchingId`,
`RunningStatus`
HAVING
`RunningStatus`=1