The law firm Tanner calls for is Gage Whitney Pace, the same law firm Sam Seaborn worked for in The West Wing before joining White House staff.
The President states that she wants "Rick Berman" to work for her and come from the "private sector." Rick Berman is the former executive producer for every Star Trek series since Star Trek: The Next Generation (1987). Rick also oversaw the current producers of 24, namely Manny Coto and Brannon Braga, who were involved in Star Trek Enterprise, Voyager, DS9 and The Next Generation, respectively.