I just had a virus and now i feel like i have a mild dry cough and slight difficulty breathing. asthma or something else?

Hard to say: If you are having trouble with your breathing, see your doctor. You may have asthma (or reactive airway disease), or an infection, or allergies, This can not be determined on-line.

Probably Not Asthma: Most likely you have some post viral inflammation in your lungs which can feel like asthma, but will get better over the next few weeks. If it doesn't, talk to your doctor.