Since how long are your symptoms? How old are you? Male or female? Is there pain when you move your neck or shoulder? Were an investigations done? Any significant past medical or surgical history?
Are you diabetic, have high blood pressure, sedentary, stressed, over weight, smoker, take alcohol? Are your cholesterol or lipid profile normal?
The answers are as follows:
Cholesterol - normal.
Your arm symptoms typically look like pinched nerves in neck. This can be degenerative disk disease or bone spurs pressing on the nerves causing pins and needles down right arm with localized pain in center of chest. With no risk factor, except over weigh this is a likely possibility. The diagnosis is by MRI of the neck, electromyography (EMG) and nerve conduction study (NCV). Please read about the pinched nerves;
Having said that, a chest pain would always be investigated especially in your age group. Overweight is considered a risk factor for heart disease and for any chest pain, an EKG is mandatory to categorically rule out heart as a cause for the pain. Another common cause for chest pain can be costochondritis, which is inflammation at the junctions of rib and cartilage or with the breast bone. Anti-inflammatory analgesics (Ibuprofen), local analgesic ointment, or spray, chest brace and warm compresses are helpful in this. Another possibility is muscle sprain. Tenderness, if present, usually points towards muscular and skeletal (bony/joint) conditions. Read about the costochondritis, in this resource;
Please feel free for your follow up questions.