I am 36 weeks and 5 days pregnant. I am having a Sharp pain that is constant in my right side. Plus lower back pain. Could this be labor starting. I don't know why its just hurting really bad in my right side.

It's possible that this could be labor starting, however your symptoms also indicate that you might be having some gallbladder issues that are common with pregnancy. However, only a doctor can give you a proper answer for that. You might try watching your diet to see if that eases the pain. Avoid fatty foods and dairy. In the meantime, keep your doctor's appointment and ask him/her what this may be at your next scheduled appointment.