When Cordelia comes to rescue Fred from getting her head chopped off she comes with baby Connor in her hands. In this scene you can see Connor's head. But in the next scene with Cordy and the baby, Connor's head is covered with his blanket.
After Fred completes the puzzle the Nahdrahs drag her to their leader in an adjacent room, but in the previous scene, when Lorne is snooping, the room was upstairs.
When the Nahdrahs are first about to cut Fred's head off, they make sure that her pigtails are not going to be harmed by the blade. The second time, they are less thoughtful.
Angel says that he has to pay for three phone lines, but in the beginning of the episode Cordelia asks Angel to cover lines three and four.
When Gunn hits Brian with a wooden stake at the front door, you can see the (rubber prop) stake bend considerably.
Angel: (to baby Connor) How's my little magna cum laude, Notre Dame, class of 2020?
Fred: There's a young woman whose dead boyfriend is stalking her.
Angel: That's terrible. Did you...
Cordy: I ran her credit. She's solvent.
Lorne: They either have to consult with the prince or go eat a cheese monkey. Did -- did I mention rusty with the lingo?
Gunn: So sweet.
Wes: I meant the baby.
Gunn: I meant the hot mama.
Lorne: Hey, is my breath stinky?
Angel: Finding Holtz is our number one priority.
Gunn: I thought you said...
Angel: Finding Holtz and making money are our..
(Cordelia clears throat loudly)
Angel: Finding Holtz, making money, and helping the helpless are our three number one priorities.
Angel: (Angel's phone rings) Hello? Hello? (Still rings) Hello?!
Guy: I think that's your voicemail.
Angel: Damn it!
Cordelia: (about Fred) We kind of need her head at work.
Fred: Firmly attached to her body!
Cordelia: I think that goes without saying. (to Lorne) Say it!
Lorne: (Click, pop, click) I told them to do it, and what would happen if they didn't.
Cordelia: Lorne, we are in no position to be threatening these nice people!
Lorne: Sure we are! Where are Angel, Wes, and Gunn? I can't see them from here.
Cordelia: Out making money!
Lorne: Oh, so when I said that they were surrounded by killer warriors, I was streching the truth a little?
Cordelia: Just enough to get us all killed!
Wesley: The internet article I'm currently writing posits a formula for the genome mapping of creatures who don't have genes. It's an exciting arena.
Lorne: One I'm sure we can all download at I'llNeverKnowTheLoveOfAWoman.com.
Fred: I think I'm onto something here.
Lorne: Yeah, me too. Unfortunately it requires a vomitorium.
Lorne: Uh, if this is about the baby formula I snagged from the fridge last night, sorry. I was feeling a little peckish and it was that or a glass of pig's blood. And by the way, baby formula and Kahlua--not as bad as it sounds.
Angel: You been drinking?
Lorne: Oh, I can hold my liquor, Mister. Unfortunately I can't say the same for my fire water.
Fred: Aren't they the same thing?
Lorne: Well hey, Fred girl! No, this is special fire water, used to loosen the tongue of my Garwok snitch. They light the water on fire and there's chanting and a bong and... look out Houston!
The barge visited by Fred and Lorn served as the S.I.U. headquarters on Nash Bridges in the show's later seasons.
Cordy: Lorne, it's all snap, crackle, pop to me.
This is a reference to the popular Rice Crispies characters by the same name.
Fred: If you can keep your head when those about you are losing theirs guess you're pretty lucky. I could kiss you both.
Fred's line alludes to the first line of the poem If... by Rudyard Kipling
"If you can keep your head when all about you
Are losing theirs and blaming it on you".
Arguably Kipling's most famous poem If... is considered inspirational and motivational and a guide to the rules of grown-up life.
Lorne: . . . Jules Verne meets Leona Helmsley.
Lorne's comment about the decor of the Nahdrah's ship references author Jules Verne (1828-1905) and billionaire Leona Helmsley (1920- ). Verne wrote several novels that relied upon then-undiscovered modes of travel (e.g. space, air, underwater) most famously in 20,000 Leagues Under the Sea, which is undoubtedly what Lorne is referring too. Helmsley married a real estate tycoon and became a symbol for lavishness and excess; she was later convicted of tax evasion and spent 18 months in prison. Her poor treatment of her employees earned her the title "The Queen of Mean."