The spheres are merely there to show (to yourself and your visitors) that your dragons are higher than level ten. The shrines will show that your dragons are able to level past ten (or fifteen if it's gold), but the orbs show for each particular dragon that is above level 10.
Hemoglobin is what actually gives your red blood cells the ability to carry oxygen. A high hematocrit simply means that you have a higher concentration of hemoglobin in the blood. First of all, it could indicate dehydration, or normal amount of hemoglobin, but too little blood (plasma) volume. If this is the case, depending on how high the hematocrit is, rehydration might be needed.
This test checks your hemoglobin and hematocrit (hee-MAT-oh-crit) levels. Hemoglobin is an iron-rich protein in red blood cells that carries oxygen to the body. Hematocrit is a measure of how much space red blood cells take up in your blood. A low level of hemoglobin or hematocrit is a sign of anemia.