At 8:46 Apollo tells Tigh the Raptor's gun camera footage confirmed destruction of the Cylon basestar. When the basestar exploded, the Raptor's nose was pointed away from it, as they were fleeing. All of the weapons on the Raptor fire forward, so there would be no gun camera footage of anything but what Boomer was seeing as she flew away.
Dualla tells Tigh that all 12 members of the Quorum are on board, but Gaius is a member of the Quorum and is stranded on the surface of the planet with the other crew of the downed Raptor. However, since Gaius has been elevated to the level of Vice President, it is reasonable to assume that a new representative for Caprica has been selected for the Quorom and there are 12 members of the Quorom present.