Thanks for your question on Health Care Magic.
I can understand your concern.
In my opinion, you should not go to work and take proper rest at home for atleast 1-2 weeks.
Viral infection is the most common cause for acute
bronchitis.
And you are still having hacking
cough and breathlessness on exertion, this means you are not fully recovered.
Viral infections are usually self limiting and take almost 1-2 weeks for resolution.
And these infections can spread to others through coughing,
sneezing, laughing etc.
So better to rest at home for atleast 1-2 weeks, so that full recovery can be achieved and you become non infectious to others.
Hope I have solved your query.
Wish you good health. Thanks.