Ok. The match hoes to time, the YV-666 had been destroyed, the pup is still on the table, but so is Xizor. Does my opponent get half the MOV of the YV or all of it?

"If the only ship remaining in a match is the Nashtah Pup Pilot, the player who controls that ship wins. If this scenario arises during a tournament match, the Nashtah Pup Pilot is treated as though it is worht 1 point. For example, in a standard 100 point dogfight match, the player who controls the Nashtah Pup Pilot earsn a modified win and has a margin of victory of 101 and his opponent scores 99." FAQ, Page 9.

This is all I could find in the FAQ about the Nashtah Pup specificially... I would be inclined, based on the wording, to say that yes your opponent gets 100% of the YV-666 points but you get an extra 1 point on the table in the way of "undestroyed" ship points.

The one point for the Pup specificaly says it applys only is the Pup is the only ship left. In this case there was an other ship as well, so I'd say the Pup would be worth 0 points just as its ship card says.

In the above case, I would say that you both end up with points destroyed accurately counted.

You get everything in your opponents list bar Xizor. (lets pretend for this example, he is worth 35 points and your opponent was the full 100 and had no bid)

He gets the entire points for your list (but not the automatic full 100 for complete destruction, as you still have a ship on the board) (lets pretend for this example, you had a 2 point initiative bid)

In my example, your opponent would win 98 - 65 and claim a 33 point win, for 133 MoV, and you would have a loss with 67 MoV.