Well, it's not specified whether it's connected to Alagaësia or not, but I wouldn't think so. Besides, wasn't the Vardan once stationed across the Hadarac desert? Plus, Eragon leaves on a boat to reach the new land at the end of Inheritence, so Saphira isn't even flying.
As far as the dwarf thing goes, Orik states that he'd rather not fly but, as it says above, the pact was amended to include both Urgals and Dwarves, so there's bound to be a few dwarves that would want to fly (especially if they were chosen as a rider)
Ah, a small conversation that gives me reason to post. Interesting.
And my bad about the Dwarves, I coulda sworn they preffered to stay out of it.