This episode establishes the Professor and Zoidberg as good friends. This contradicts other instances in the past where the Professor is shown to regard Zoidberg in contempt, such as in Teenage Mutant Leela's Hurdles where, moments before he drowns, he shouts, "With my last breath, I curse Zoidberg!" Although, it could be argued that he was delirious at the time.
While Bender is performing the Third Kill Check on the Killing Machine, he uses the machine to make a salad. The axes on the kill wheel contained cyanide, which is poisonous. Despite this, the crew does not seem to mind. Later, they serve the salad to the professor and it does not harm him in any way.
It is possible, however, that since there were only 2 blades with cyanide on them before the salad is cut (due to Bender being the Third Kill Check), that the salad was cut by the blades without cyanide.
At the beginning of the episode, Leela explains to Fry that even though the current time period is the future for him, most objects are still just objects, not aliens who look like objects. Even if Fry isn't exactly the smartest character on the show, who should've realized that at this point.
Fry apparently thinks that he has a uterus, but as men, he wouldn't have that---only women have uteruses.