If a medication or a medical condition is the cause of constipation, eliminating the offending medication or treating the underlying medical condition may relieve the constipation. However, certain conditions require the use of a medication despite its side effects.
Your heartbeat can be either tachycardic or bradycardic during a heart attack, so no i don't believe you had have a normal pulse rate at the time of a heart attack, normal being around 60-70 beats per minute for an adult. Heart rate does decrease though with age but that doesn't necessarily indicate anything is amiss.
It is true that anxiety can increase your heart rate-but unless you are only getting anxious when you are standing up and doing light activity, you should also notice increases in heart rate over your normal resting heart rate while laying or sitting as well when anxious.