When Rutherford enters the holodeck, he comes in from the rear of the riverboat lounge. When they are called to the bridge and call for the arch (holodeck entrance), the arch appears behind their seats, along the lounge's right wall.
When the various characters are dressed as Mark Twain, the part in their hair keeps changing when they turn their heads or are shown from different sides/angles.
When Mariner is stabbed in the discotheque, she pulls it out and places it in a jar which holds other bloody knives. All the other knives also have red blood stains. But there are no other humans on Orion; Mariner and T'Lyn are the first off-worlders. The other knives should have Orion green blood on them, not red.
The running gag in this episode is that Beckett Mariner gets stabbed multiple times in the same place on her right shoulder by thrown knifes, but neither her or anyone else treats the wound after the knife has been removed.
When Boimler and Rutherford are arguing over who gets to water the bonsai plant, Rutherford asserts that he's "got an algorithm" to calculate "exactly how many ounces" are needed "for optimal health". Rutherford would have been more likely to express an "optimal" amount in "milliliters" or possibly "ccs" (cubic centimeters).
After Coqqor eats the Bonsai tree, he says that he is "thirsty for mist." Mist is when a liquid is suspended in a cloud-like state, it is not a type of beverage, nor is it drinkable.