Is it normal to have muscle soreness in my back but my vertebrae feels out of place?

Stretch and Exercise: At your age, i would suggest stretching out and working in strengthening your core muscles. Take some anti-inflammatories around the clock for the next few days. If you do not improve after a few days, i would consider evaluation by your doctor for further testing and imaging evaluation. Seeing a chiropractor osteopathic physician that does manipulation maybe of help as well.