As you're playing in Elsweyr
(NOT SOUTHERN ELSWEYR, thanks Nitefalcon for clarifying this) make sure to check your map on occasion, and check if you see a dragon icon at any of the following locations (or just head to one of the locations in the image below, as dragons spawn about every 10 minutes or so).
As of now, they take less than 5 minutes to beat, but this will vary on time of day and how many players are on, but isn't terribly hard otherwise.
I was level 5 when I joined a dragon hunt and had no issues.