Pain started in low back then next day started hutton in lower leg pain in back went away and pain in thigh and calf doctor said sciatica?

Likely muscle spasm: Affecting the sciatic notch and exiting nerve. Likely mild sciatica.

Pinched spinal nerve: Yes this is likely a pinched nerve in the lumbar spine causing radiating pain. This condition is called lumbar radiculopathy. Although it is often labelled "sciatica". It is usually caused be a herniated lumbar disc. The good news is that about 80% of patients get better without any treatment. If the pain persists past 6 weeks contact your doctor to discuss treatment options.

Spine Injury: This chronic pain in the distribution as you suggested is the result of an irritated nerve or facet joints or other injury typically in the lumbar spine (low back) which are caused by herniated disks, spinal stenosis or degenerative disc disease, etc requiring further evaluation by a pain/spine specialist. You may be a candidate for epidural steroid injections for relief.