허리 means "the part of a body between rib and buttocks" which is waist and the lower part of back.
등 means "the opposite side of chest and abdomen" which is the upper part of back.
등허리 means "the lower part of back"
"I have a backache." can be mean
등이 아파요. (upper back pain)
or
(등)허리가 아파요. (lower back pain)