The photo Haley took of Gloria and Claire pays homage to the photo of Jayne Mansfield and Sophia Loren in which Loren gives a sideways glance at Mansfield's cleavage.
The picture that Haley took was actually taken at the 70th Annual Golden Globe Awards.
When Haley says:" I'm 420% sure" she isn't as Phil says "really bad at math" she uses slang because 420 actually means "weed, pot" or "Time to get high, smoke marijuana" according to the slang dictionary.
When Mitch & Cam are standing in front of the portraits in the art gallery, the picture of them they are standing in front of is the exact same shot (pose) as their "on-screen live" pose.