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.
How fast the heart beats depends on the body's need for oxygen-rich blood. At rest, the SA node causes your heart to beat about 50 to 100 times each minute. During activity or excitement, your body needs more oxygen-rich blood; the heart rate rises to well over 100 beats per minute.