Painful to touch on spine middle closer to the lower back accompanied by right knee pain and heat sensation on the bottom of my right foot. I had twins 10 months ago via c section my lower back hurts too more of soreness type?

Back pain. You likely have a disc herniation , chronology is problematic going forward ;see a practitioner for appropriate exam diagnosis and management.
Strain on spine. Likely nerve compression , possible causes: lumbar lordosis, from spinal block , strain on back , overweight. Better to have physical exam by doctor.