Can aspirin cause low red blood cell count?

No, Aspirin can not cause bleeding per say, But it does thin your blood. Meaning if you cut yourself and you take excessive amounts of aspirin, you will bleed a lot because it is so thin. That is why the put a baby aspirin under the tongue of people that are having a heart attack to thin the blood so it can pass easier through the artery over the clot.

Source: my mind and what my mother has told me.