Why didn't Eris interfere with Sinbad's return voyage? If she did anything to FORCE his claim to be a lie, it'd go against that deal she made with him. He didn't know her claim of him lying wasn't applicable until the moment of truth. But either way, actually trying to force his hand against his will would be breaking her word which she couldn't do.
Following on the above, the fact that if gods swear an oath they are 'bound for all eternity' to keep it, while well set-up earlier in the film, seems to act as something of a Deus ex Machina to save the day at the end. Except that, all historical/mythical changes in the film aside, this actually seems like a very clear reference to the Greek deities' swearing on the waters of the River Styx (and indeed, being unable to break such an oath once sworn). The animators merely used the 'X of light' Eris makes on her shoulder (since she "doesn't have a heart") as a visual shorthand or explanation for this.
Sinbad loves the sea. Marina's name means "sea". A possible romantic foreshadowing of them falling in love with each other.
Sinbad's harsh treatment towards Marina, especially his Stay in the Kitchen lines directed at her, makes him out to be a chauvinistic jerk. Then, Sinbad confesses to Marina that she is the love of his life, from the very first moment he saw her. The moment she came to be arranged to marry Proteus. So, his earlier actions make more sense when you realize that his said actions was because he was trying to push her away from him, so he wouldn't fall more in love with her than he already was.
The famous Arabian Nights character Sinbad the Sailor is now a pirate? Pfft, what a trite marketing tactic for an adventure movie....based on a story where the "sailor" actually behaves as bad as or worse than the most sociopathic pirates of history, and not only gets no punishment but is regarded as a hero for it....this movie is portraying Sinbad as exactly what he is in the original story, except in this version he's confronted about it and ends up changing his ways. And he's not quite as sociopathic as his original Arabian Nights counterpart, since the original Sinbad would probably be past redemption in many viewers' eyes. (Can you imagine cartoon Brad Pitt Sinbad murdering a frail old man with a rock and robbing him?)
Eris' pets are constellations, but if you pay attention, all of them are likely based on real constellations. Cetus shares its name with a constellation that contains Aquarius, Pisces and Eridanus, the Roc is likely based on Aquila, the eagle and among Eris' other pets include a scorpion (Scorpio), what appears to be a dragon (Draco) and possibly some sort of big cat (Leo).
