Let me tell you about this i was on my xbox 360 yesterday and this happened, i was shocked plus surprised to see this. This happen so weird but before the storm quest repeated as soon as i got done with the dragon stone quest, the jarl was sitting on the throne and his guard came walking up asking me my business here in whiterun, i thought it was so weird that this doubled repeated it self and i had the dragonstone in my inventory for the quest came back with the dragonstone and the women guard came and asked about the same thing she said the first time i came, then i walked over with jarl to meet the court wizard and the jarl disappeared. Has anyone ever had this happen to them, because i was really shocked tosee a quest i already completed repeat itself again when i was on the dragonstone quest. Also the quest for the dragonstone was not there. I wondered if it was a little weird to see a quest gone, still turned in the stone and then the jarl appears upstairs next to the map desk for the war.

Dravynea's Frost Salts miscellaneous quest.

I use Live Another Life mod for alternate starts on the PC. You can get into Whiterun without being questioned until you start Dragon Rising or what ever the MQ is called. Anyway I've been stopped by the guards because of this. "What do you mean the city is closed? I've been coming and going for weeks." lol

As for an actual deja vu type moment/quest. none come to mind off hand.