I hurt my hip 3 weeks ago while running. can't lift the leg or cross my legs. do i have a hip labral tear?

Possible: To many other possibilities as well. U need to see an orthopedist for an exam, x-rays and possible mri, cat scan etc. Stop running untill u have a diagnosis and get treated.

Many possibilities: The fact that you can't lift your leg suggest hip flexor strain/tear (a high degree strain). Without a fall it would be unlikely to have a sudden label tear, though they can develop over time. Best to get a diagnosis from a sports med doc right away. All of those diagnoses benefit from physical therapy +\- a brief course of anti- inflammatories.