Even if you don't have anemia, you could still be iron deficient. Iron deficiency is pretty common in women who are still menstruating. And can cause irregular periods.
The best way to check your iron status is to check your ferritin (iron storage) - the full battery of iron tests include acronyms like TIBC and TSAT plus serum iron and ferritin tests.
Iron deficiency can cause low hemoglobin (hgb), low hematocrit (HCT), and high RDW. It can also cause cognitive issues (learning and memory) and susceptibility to viral and bacterial infection.