Would Botox injections relieve or stop the tight painful muscles in my lower back?

Thank you for your question. Botox has been successful in treating back spasms. A consultation with a physician would be required to determine if this particular treatment is right for you. I would suggest scheduling a visit with a doctor to discuss this option. 

Botox may improve your back pain. You'll want to see someone experienced in this type of treatment. Botox results resolve in 3-4 months. Best, Dr. Emer

Botox has been reported for back pain.  However, that is a question that should be answered not by an aesthetic physician but by a pain doctor.  Pain doctors have generally done a fellowship after a residency in either anesthesia or physical medicine and rehab.  Look for someone board certified in pain who is best equipped to diagnose the cause of your back pain and discuss the options for treatment with you.  Unfortunately, as a cosmetic dermatologist, that is not in my purview.I hope this answer helps you get to the right kind of physician for your problem.  Best wishes.