Totally normal. I noticed that when i was pregnant with my daughter. All that extra blood in your body and hormones. Its normal.
In case of heart I always recommend to ask your doctor. From my personal experience, I can say that many times I thought I feel my heart, and it was not a heart. Finally we found out it was an esophagus. But without examination it's hard to tell, so talk with your doctor, but don't worry before that
Heart palpitations can be normal during pregnancy.