Hi and welcome to HCM
From description it seems burning and numbness
in fingers comes from something putting pressure on a nerve.
I suggest you to have MRI scan under guidance of an orthopaedician to know the exact pathology. The management protocol depends on the severity of nerve compression.
Temporary pain relief can be obtained by using an appropriate analgesic
or muscle relaxant
& methylcobalamine supplements.
Hope this will helps you. Take care.