I have studied your case.
You may need to repeat investigation like x ray ,CT scan and MRI.
If repeat investigation are normal then no need for surgery.
You may need decompression if fracture
is compressing spinal cord
Decompression is necessary if neurological deficit is there.
If there is no neurological involvement then conservative brace or rest is sufficien
Later on follow rehabilitation
Hope this answers your query. If you have additional questions or follow up queries then please do not hesitate in writing to us. I will be happy to answer your queries.
Wishing you good health.