J: What's with the rough ride? Moya need a tune-up or something?

Moya exits starburst--
J: I guess we can turn off the 'fasten-seatbelt' sign now.

J: Rygel, you are way off-base here.
Durka: No, he is not "off-base." I am Durka.
Apparently, the translator microbes are working overtime this episode. "Off-base" is an expression which means that the person is badly mistaken. Definition courtesy of Dictionary.com.

J: I don't give a damn if she was an axe murderer, Elvis. She was just talking to me.
Does anyone not know who Elvis is? Elvis was Elvis Aaron Presley, aka "The King", probably the best known (world famous) America rock and roll singer. In his later years, he was well-known for his long, thick sideburns. Salis is sporting some very Elvis-like sideburns.

Can you tell which is which?

D: You heard Durka's ultimatum?
J: Yeah, yeah, yeah. Nebari mental cleansing doesn't get the tough stains out.
"Gets the tough stains out" is the slogan for Zout, a laundry product.

J: Durka's gone all Hannibal Lecter on us.
C: I don't know what that means.
Why am I not surprised? In case anyone doesn't know, Hannibal Lecter is a character in the film "Silence of the Lambs." He is a homicidal maniac and a cannibal.

J: Do you have a hearing problem, Chiana? Durka's insane. He's a psychopath -- legendary -- and nobody knows what a 100 years of eating Happy Meals have done to him.
Happy Meals are a special child's meal at McDonald's, a chain of fast food restaurants.