Should see the CBC (Hb, Hct, WBC, platelet count , RBC count) and a description of the blood smear). Also you should test for a reticulocyte count. This are the test for diagnosing anemia's causes , that I think you don't have, you had a surgery, lost some blood.....
Don't take iron supplements unless you have iron deficiency, your hemoglobin is ok for a woman, hematocrit is not so low. Iron must be taken if your ferritin is low, so if you want to know if you need iron you should test for Ferritin, tranferin, iron in serum, Vit B12, folic acid.
I take a product called SpaTone..It is fantastic! I was in USA just recently and mentioned to a pharmacist of it and he said he had heard of it and would get some in. You can try ferrous sulphate as I took that instead whilst in US and it works just as well. Liquid iron will be absorbed much better than a tablet. I know this as I am chronic aneamic all my life and the liquid iron gave me a level of 20 (AUS Labs 11-17) so that was great for me! I was always about 7 even when taking 5 tablets a day of 30mgs iron!
Hope that helps!