Thanks for your post.
You are being treated for allergic rhinitis/ allergic asthma
. Increase heart rate
and chest discomfort
may be due to underlying disease or chest infection/fever
. However, medication you are taking can increase your heart rate. Moreover, running nose and upper respiratory inflammations and infections can dehydrate you and increase heart rate.
You are advised to take plenty of water and visit your doctor to get CBC and chest x-ray for further evaluation.
Hope it helps.