To clarify further, all of your characters were past the triggering point for the Rye quests. They will not show up unless triggered. It would require rebirthing and running them to the triggering quests for the Rye dailies to appear, and as such you cannot see them at this point.
I think what is confusing about this is the fact that all dailies from Dartrey up are showing except for the ones in The Rye. Why would only those be excluded from some rebirthed characters? Dartrey zone is much lower than Rye.
Dartrey is immediately after Rye, actually. Rye is the first area of the eastward road to Zorian. As for why... I have a suspicion that the other quests aren't dependent on the main quest at all, since NPC locations in the Rye move after certain main quests are completed.