Can Exercise Cause Chest Tightness And Pain In Arms?

I m a 55 year old female. I m in good health and weight. I ve been hitting the gym pretty hard including a spin class once a week. Today I feel unusually tired and my right arm is achy in the bicep. My chest is tight but I don t know if it s because of the exercise. I took a couple of excederin when I got home an hour a go. Should I be concerned?