Thanks for posting your question here, I will try to answer it to the best of my abilities.Shortness of breath
isnt a side effect we usually associate with contraceptive
pills, as such I am sure the cause is something else.
I recommend you see a doctor as soon as possibe, after an xray of your lungs and listening to your breathing sounds using a stethoscope we may be able to diagnose the problem and then treat it accordingly.
I hope this answered your question.