While the Muran Deer haven't been written up really, I'd estimate they can fly 20-40 mph or a bit faster for shorter periods of time.
Wind Eagles can fly on average about 50-80 mph and can dive at almost 200 mph. This is roughly double what a normal eagle can do, so I'd suggest that its possible for them to be even faster.
As far as how long they can travel per day, I'd say at normal cruising speed they could go all day, but really breakneck it would be a shorter distance.
You'd have to talk to Liminal for Akvatari numbers and Gillar for zith numbers.