Ideally, the patient's attending physician is the one who should be deciding which labs to order upon admission, which is why the nurse is expected to call the doctor and verify admission orders whenever a newly admitted patient arrives to the floor. "By the way, Doctor, which labs do you want drawn? Thanks!"
The attending physician at the specialty hospital where I work always wants a CBC, CMP, and UA with C&S for all newly admitted patients, so we check off these labs until he actually rounds. After he rounds and lays eyes on the patient, he'll order additional labs on a physician's order sheet.