How likely is it to develop anaphylaxis if you had none and you're a young adult? there is long & recent history of rhinitis and urticaria however.

Not above average: There is no evidence that the presence of either condition increases your risk for anaphylaxis.

No increased risk: Just because there is a history of rhinitis and urticaria, this does not mean that you will have anaphylaxis. In fact, the risk of you having anaphylaxis is not much more than someone without these conditions. If you have known food allergies or medication allergies, see an allergist for further management strategies.