The victim's rank is referred to inconsistently throughout the episode. Initially he is referred to as "Lieutenant Pierce," both by name and by the sign on his door. Also, when the victim is shown, he is wearing the rank insignia of a lieutenant. However, once Monk is aboard the sub, he is referred to as "Lieutenant Commander Pierce." While Lt Cmdr is a more appropriate rank for an XO, the proper term of address would be "Commander," not "Lieutenant."
Albright loans his unloaded gun to Monk for Monk to see if a cream soda bottle works for an improvised silencer. The gun seen is a Walther P38. Navy soldiers actually use standard issue Beretta 92FS handguns.
When Lt. Albright is standing and talking to Mr. Monk in his house at the beginning of the episode, at one point Albright puts his right hand down in front of him (he grabs his left hand, which has been down the whole time holding his cap). In the very next shot, his right hand is by his side - way too quick for him to have moved it there.
While in the ballast tank, Monk tells Natalie that he doesn't know how to swim. Yet when he and Stottlemeyer fake Monk's death at the end of the first part of "Mr. Monk is on the Run," Monk falls into the ocean when Stottlemeyer "shoots" him and, presumably, swims to shore.
There are a couple of problems with Monk and Natalie being trapped inside the ballast tank. First, the ballast tanks are not accessible from the inside of a submarine. The other problem is that the ballast tanks are only used to take the sub above or below water; once below the water, the ballast tanks are full. So, in order to go deeper or higher, the submarine moves devices called "dive planes" up or down.
Natalie: (trying to convince Monk to go on the boat) Mr. Monk, I've been on these boats. These boats are so big, they don't even feel like boats. They're like islands. You've been on islands before, right? You like islands. It's like Hawaii. Think of it like that: We're going to Hawaii.
Monk: (short pause) I believe you are the Devil.
Albright: I've never talked to a detective before.
Natalie: Well you can speak to Mr. Monk the same way you'd talk to a normal person.
Monk: Nobody's shaking hands. Everybody's saluting. Maybe I should enlist.
Monk: Why not?
Natalie: Because I love America.
Natalie: Mr. Monk, be brave.
Monk: Why? What's in it for me?
Monk: I'm pretty sure he killed himself.
Albright: How do you know?
Monk: I've been on board 15 seconds and I'm feeling suicidal.
Monk: I have my share of problems, I admit it. But when I'm on this case, I'm not delusional. (to an imaginary Dr. Bell) Tell him. (long pause) Does that sound like I'm delusional to you?
Natalie: Mr. Monk, it won't help if we both panic.
Monk: You're right, you're right. We'll take turns. I'll go first.
Czech Republic: February 15, 2010 on TV Nova
Slovakia: November 10, 2010 on Markiza
Finland: October 8, 2011 on YLE TV1
Ted Levine is credited but does not appear.