Your medication confuses me and I assume that you are being treated for high blood pressure. Amlodipine is an effective drug in the treatment of hypertension, and I don't know of it causing a throat tickle with coughing and choking. It sounds to me like you should see an ear, nose and throat doctor to find out if there is a local problem.
As an aside, in the future consider giving your age and sex and some representative blood pressures along with your question.