Pam says, "It's like Schindler's List (1993) up in here and I'm like that little Gandhi dude." She is referring to Oskar Schindler's bookkeeper, Itzhak Stern, played by Ben Kingsley, who also played the title character in Gandhi (1982).
Lana tells the men to deliberately make their lies about having sex with her as nasty as possible. Brett claims Lana gave him a "Jane Hathaway", which is a sex act where a woman orgasms on a man's chest.
When Bret is bragging about having sex with Lana to Cyril you can read several posts on the bulletin board behind him, including "WWJD about the dirty dishes in the break room?" "Improv! Krieger The Science of Funny" "Want to carpool to Chems on Thurs? Contact Jane in payroll 555-0880" and "My name is Waffles and I'm kitty-litter-safe! Free kitten -she'll take your breath away (but not in the middle of the night) call Eric 555-0499"
The book Malory is reading is "Greenmantle" by John Buchan. Show creator Adam Reed used Greenmantle as an inspiration for the character Sterling Archer.
In flashback, at his (fake) dad's funeral, the boy Archer's suit and salute exactly copy JFK Jr's at his father's funeral. And his mother is dressed just like Jackie. Jessica Walter (Mallory Archer) also recreated this moment with her son Buster on Arrested Development (2003) (pictured on a Balboa Bay Window magazine cover within the show). Actor Jeffrey Tambor (Len Drexler) also starred in the series.