Unfortunately, both of the bullets you found are from long after the civil war era.
You did not provide any measurement-info (diameter and length), so we cannot tell you their caliber. But the shape of the bullet on the right in your photo shows that it is a 20th-century "Wadcutter" bullet ...a type made specifically for target-shooting, because its flat top cuts a neat circular hole in the target, making it easy for the shooter to know exactly where the bullet penetrated the target.