On the Frame Up Job episode, Parker, Hardison and Elliot don't appear because, as Nate tells Sophie, they are in DC, which is where this episode takes place and Sophie and Nate don't appear.
Early in the episode, Hardison, Elliott & Parker break into a vault at Castlemen Security. Castlemen was the company the team took down in episode 2: The Homecoming Job.
Elliot says to Parker and Hardison, "You stole a Michelangelo using tin foil and chewing gum, figure it out." In S1E12 "The First David Job," Parker and Hardison stole the statue using tin foil and gum.
The events in this episode occur concurrently with the events in "The Frame Up Job." This also happened in the previous season when the team split up for two back-to-back episodes.
When being questioned by the Senate Committee, a senator describes a former team used by Colonel Vance. The description of that team perfectly describes the team on Chuck (2007), which starred Adam Baldwin as Colonel Casey. Additionally, the pig farm is Casey Farm.