Let's get the awful stats out of the way.
R: 23, W: 5, costing 5200
Coryat: 13,200
FJ:
DD: 1/3
LT: none. again.
Timings:
3:01+3:27 = 6:28
6:39
1:37
I got stumped in TV Shows, Wine, and S. American capitals, but Ends with "SS" was my worst, with 1 right and 2 wrong. Missed 2 in Brit Monarchs, more than offsetting the 3 rights. Ran 20th Century References. Got one in Bios, but only because I knew who painted the Mona Lisa. (And even then, I stopped the playback for a couple of seconds because I wasn't going to let that one go with a clam.)
But how about those FJ wagers? I took the time to work them out before watching FJ. Peter's standard wager would be 8001. Zach is in Stratton's dilemma, wanting to wager less than 3400 to stay ahead of Peter if they both miss OR more than 3800 to stay ahead of Allison if they're both right. On a neg by Peter (and with the standard leader's wager), he'd end up with 9200. That's more than Allison has, so she has to get the question right to win. That leads to an all-in wager by her. (Which she mostly did.)
Now to work out Zach's dilemma choice. If Allison gets it right from 3rd place, there's a good chance that all 3 will get it right. That would put weight on the "more than 3800" wager. In that situation, Zach can't win, so the larger wager will salvage 2nd place. But the only way to win is with a miss by Peter. Staying above his score on a miss means wagering less than 3400. That gives Allison a chance to sneak in, but only with a sole get.
I went back and forth a bit, and decided that in Zach's position, I'd want to wager to win with a right answer. I'd hate to get it right, then lose to the trailing player. That gives me the "over 3800" choice. Zach apparently agreed, then wisely chose to up the wager to cover Peter's current score in case he wagered nothing.
Of course, all the strategy is for naught, because Peter gets it right, negating his overwager and my overthinking of Zach's choices.