I went to Washington Square Park and watched for a bit. It was packed. Lots of people cheering for "Jody."
Cody had his arm around Jessica almost the entire time. And during the very few minutes when he didn't, he kept his arm on her and they were still managing to lean against each other. This meant that when all the teams were supposed to be clapping, Jessica would usually be clapping, but Cody couldn't, because that would have required him to remove his arm and stop touching Jessica. I don't know if it was just romantic, or somewhat of a security blanket/protective thing for him, because it was that way between every take, and even during some of them. At first I thought it was sweet, but eventually, it started seeming a bit possessive and weird, because he literally wouldn't stop touching her to clap on camera when he was supposed to.
That said, they seemed really happy together and it is a new relationship.
They didn't really talk to the other couples, although smiled at one and did pose for photos with some fans.
( I'm putting this here, because it doesn't really tell anything about the amazing race, but is more relevant to BB fans who are curious about Jessica and Cody's relationship.)