Does my budgie have mites?

He is a 5 week old baby, I've had him for 5 days...... He seems to preen himself quite alot, more than I would expect for a budgie. He seems happy but I'm not convinced he doesn't have mites. Could it possibly be that the hair product bottle filled with water we spray him with when he gets hot still has some product in it that irritates his skin so he cleans alot? I'd apreciate your opinion! :)