Trivia: Concerning Jack's statement about never being on a submarine, Jack was on the Russian submarine Foxtrot in the season opener "Small Victories", but is maintaining the US fiction that they have no idea what happened to that sub.
Trivia: Russian Stargate room pass code: 6996
When the submersible goes through the gate, the cable suspending it detaches from an anchor on the top of the sub, but when they emerge from the other side of the gate, the anchor is gone.
At about 15:47 into the episode when SG1 and Marina Sirtis are at the Russian facility, you can see that she has some sort of mouthpiece. In the next shot it is gone.
In most cases, Russian surnames are gender specific. Markov would refer to a male member of her family, whereas her name should be Markóva.
Dr. Markov: We're going to have to jump.
Daniel: (incredulously) Out of the plane?
Jack: (about jumping out of the plane) It's easy! Just jump and pull this.
T'ealc: This does not seem wise, O'Neill.
Jack: I said it was easy, not wise.
Markov: I'm going with or without you, Colonel.
Jack: I suppose you expect my male bravado to kick in right about now?
Markov: I've read your file.
Jack: No mention of bravado, eh?
Markov: (about Jack) Is he always like this?
Carter: Actually, this is quite charming.
Daniel: Could we stop agreeing on how we are going to die and start doing something about it?
Teal'c: (staring at a frozen Maybourne) Do not humans usually die when they are frozen?
Jack: Usually... they usually don't breath when they're dead either...
Daniel: (sarcastically) Well, given the obvious solid craftmanship that went into this thing, I don't see how this possibly could have happened.
Markov: If you're implying that everything Russian made is of poor quality, actually, the sub is Swiss.
Daniel: So they occasionally catch fire but they keep perfect time?... Sorry, I've been hanging around Jack O'Neill too much.
Carter: We are completely stationary, it's like we're stuck in the mud.
Daniel: Without the mud.
Markov: What? The gauge must be malfunctioning!
Daniel: But it's Swiss...
Jack: It's called a parachute. (Teal'c looks skeptical)
Sam: It slows your descent when you jump out of a plane.
Teal'c: This device seems poorly designed to provide such a function.
Sam: How do you know about the SGC?
Markov: I have read extensive files on all of you.
Jack: The question was: how?
Markov: I learned to read English at the age of 6, it's not difficult.
Jack: Russian humor...
Dr. Markov: (looking down into a container) It's gone!
Jack: If I ask what and you say it's classified, I'm gonna shoot you.
Marina Sirtis (Dr. Svetlana Markov) who played Counselor Deanna Troi on The Next Generation is the fourth "Star Trek" regular/recurring role to appear on the show as of this episode. She was preceded by Armin Shimerman (Anteaus) in "The Nox", who played Quark on Deep Space Nine, Dwight Shultz (The Keeper) in "The Gamekeeper", who played Lieutenant Barclay on The Next Generation, and Rene Auberjonois (Alar) in "The Other Side", who played Odo on Deep Space Nine.
Syndication airdate: October 29, 2001.
Jack: Holy frozen badguy!
This is most likely a take on the old Batman show from the 60s in which Robin would say "Holy (something here)" in every episode.
The idea of the Soviets/Russians encountering an sentient ocean on another world is similiar to the Andrei Tarkovsky version of Solaris.
The title of this episode is clearly a reference to the Watergate scandal during the Nixon administration.