Factual error: When the bikers are chasing the bus, one of them crashes into the "Now Leaving Texarkana" sign. However, shortly before this, we see Cyril crashing into the sign reading "Austin. 105 miles." Texarkana is almost 350 miles from Austin.
Continuity mistake: In "A Going Concern", Archer has the microchip implant removed that Nikolai had put in in "Dial M for Mother." When they put it in, they drilled a hole on Archer's left side and put the microchip in there. But now, the band-aid shows they removed the microchip from Archer's right side.
Lana: Do you need to get that?
Malory: No. I'm sure whoever it is...
Cheryl: It's the Vatican. Line one. Jesus! [Cheryl gasps.] Shit. I hope he didn't here that. [Cheryl gasps again.] Or that. Shit.
Malory: Just put him through, you idiot.
Cheryl: Okay! Jesus! [Cheryl gasps.] Shit.