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you should see improvement by 3 to 4 weeks, replace the calcium intake with brocoli and juice the kale. read the ingredients of your process food and make sure there is no dairy ingredients in it before buying.
for drinking milk try rice milk or hazelnut milk or almond milk instead of cow.
you have not much to lose here, if it works happy days, like I said 3 to 4 weeks before seeing improvement. if improvement occurs then say goodbye dairy for good ;-) good luck

I'd like to be clear here, I'm saying this for your asthma not for the flu, I think you have plenty of remedies for the flu in other people comments.