The second video is far and away the better audition video. I am thinking about final edits and am going to suggest a couple of really specific things:
As with others, I agree the rock climbing bit is the best and moving it up front is great. In fact, it should be right up front. After you say "...amazing on television" skip the sax bit and then go right to the rock climbing section because it best shows why you would be amazing. The sax clip less so, so it should be moved later.
Where to move it to? Well, I would edit the video as follows: After you mention the Dum-Dums, cut to the sax clip. Edit in an annotation that says "Not a Dum-Dum" pointing ambiguously at you and the sax. Cut to the actual Dum-Dum stuffing. Edit in an annotation "Dum-Dums" pointing to the lollipops. Then cut to the rock climbing discussion of your job.
This editing serves a few purposes: 1) moves the best bit to the front, 2) cuts rock climbing up with more variety, so the video is more interesting overall, 3) gives you a chance to add additional (visual) humor to the video, and 4) juxtaposes an insinuation that you are a dumb-dumb (a possible cover) with the truth that -- "oh!" -- you are actually very smart with a potentially sneaky job ("like a hacker"). Traits that, from what I understand in my minimal viewing of Survivor's early seasons, can make for an interesting show.
The Dominion clips in the second effort make a lot more sense in the broader narrative you are telling (and showing!!) about yourself. However, it can be tied in a little better with the "story" of your audition tape. I am thinking about edits/additional script for 1:31-1:50. Possible script addition: "That forum game of Survivor? Yeah, that's a DOMINION forum." And I strongly encourage you to engage in a little more bravado when describing your abilities as a Dominion player. You should mention that Dominion is a highly strategic game of player interaction and luck and you are one of the best players in the world. I am serious. It's only slight hyperbole, and absolutely true for some definition of "top". This serves to better show that you could be a very good Survivor player.
The weakest part of the new video is the bit with your dog. It's just a little long and it with the Dominion video contributes to a long section where we are basically just seeing your head and torso while sitting down. Not exciting television. If you had time to re-film, this is where I would focus; the 2-2:40 mark. Even keeping the script the same, you could be filmed walking, discussing your board gaming group (possibly caring a board game -- Dominion? -- in hand). You could walk up to your house, set the board game down, then begin petting your dog. This would be about 2:30 and tie in your script so the dog isn't there on screen for so long before you introduce her. This would also give you a chance to walk past your wife or introduce another visual gag if you are going for more humor (maybe see an outrageous pile of board games in your entry or something with your wife trying to keep them from tipping over. I don't know. Just brainstorming).
But overall, very nicely done. Good luck!
EDIT: Sorry if you didn't want any more comments and already submitted! I didn't see how old this thread was.