Daughter has high monocytes, eos, eos absolute, platelets and prothrombin time. what can cause this?

See a hematologist : There are several differentials to be considered. Only a hematologist ( a blood specialist) can guide you on the most appropriate next step to find the cause. Looking at the blood under the microscope and reviewing other blood tests as well as physical exam can narrow down the list. Often times, a bone marrow biopsy may be needed.