both the things u told in above history is not directly related to vaccine and developing asthma has not been found.
asthma isnot a such easiy diagnosis , u should have allergy only dont jump in to conclusion so early.
kindly share the complete history and report for further guidance
Next Steps
For further clarification, complete evaluation, correct diagnosis and treatment and prescription feel free to consult me on this PRACTO APP. Stay safe and take care of yourself