WBC low counts & low platelets but normal hemoglobin what does it mean?

A low WBC count is a condition called neutropenia. Depending on how low it is, it can result in a person having difficulty fighting infection already present in the body and/or make the person more susceptible to new infection as fighting infection and preventing infection are jobs the WBC do. Low platelet count is a condition called thrombocytopenia (thrombocyte is another name for platelet). Platelets are vital in the clotting process in a person's body, i.e. healing injuries. If a person's platelet count is low, he/she will have trouble getting injuries, both internal & external to heal. Hemoglobin is the protein on red blood cells to which the oxygen molecules bind so that they can be transported around the body. I hope this helps.