A pinched or irritated nerve in your neck, known as cervical radiculopathy, can cause pain that spreads from your neck to your shoulder and down your spine. Other symptoms include numbness and tingling. It can be caused by wear and tear or injury. Treatment options include rest, physical therapy, and medications to reduce inflammation and pain.

Spine pain after running is often caused by muscle strain due to overexertion. This happens when your muscles are stressed from running too hard. To relieve the pain, rest is very important. You can also apply ice to reduce swelling, and over-the-counter painkillers can help. To avoid this in the future, make sure to stretch properly before and after running.

Left arm pain can have various sources, including injury or oversuse and underlying diseases like cardiovascular disorders or arthritis. You should rather seek a medial opinion of an orthopedist to diagnose the source and take care for your pain.

As for your mother's complaints of painful joints, which are aggravated by activity and relieved by rest, they can be interpreted as potential signs of arthritis. Arthritis is a disease that is characterized by swelling and pain in the joints. Therefore, you need to consult a rheumatologist for further treatment. A rheumatologist is a doctor who specializes in the treatment of arthritis and other joint problems. They can assist in determining the origin of the discomfort and enable the correct therapy to be administered that will aid in the alleviation of the signs.

Take your mother to a doctor or Ayurvedic practitioner, before starting any new medication or supplement like Sandhi Mitra Vati. This is particularly crucial for patients with pre existing conditions, like diabetes, and considering potential interactions or contraindications. 

You seem to have back pain and trouble bending. It could result from any number of factors, such as a muscle strain or back trauma. To correctly be diagnosed and treated for your condition, I would suggest that you visit an orthopedic physician.