Which acupuncture points are indicated for shortness of breath with low backache?

All of the mentioned acupuncture points can be relevant for addressing shortness of breath combined with low backache, making the choice of all of them correct.

K-3, also known as Taixi (Kidney 3), is important in nourishing Kidney Yin and tonifying Kidney function, which is often associated with respiratory health. Ren-4 (Guanyuan) strengthens the Kidneys, and K-6 (Zhao Hai) supports the lung's ability to grasp Qi, beneficial for respiratory issues.

Ren-6, or Qihai, is a key point for boosting Qi and improving overall vitality, which can address shortness of breath due to weakness. Du-20 (Baihui) is often used to uplift the Yang and can help with respiratory issues as well, along with providing support for back conditions.

K-13 (Qi Men) and K-25 (Shen Feng) also play roles in integrating the functions of the Kidney and Lung, with K-25 particularly addressing issues of lung connection and assisting with breath.

Thus, all these points contribute to both shortness of breath and low backache, reflecting their diverse therapeutic effects and validating why all options are indicated collectively for the condition described.