I will try my best to answer your query.
Burning micturation and back pain
may be due to UTI
or due to stones in urinary tract
stone can cause burning micturation. cause should be found and treated.
For UTI antibiotics should be taken and if stone is detected it should be removed.
Before taking antibiotic urine routine and culture should be done.
I advice you to see physician.
Hope my answer will be helpful for you.