Neck pain cause chest pain

Hi,

About a year ago more of less, I developed shoulder pain that got worse over time. I diagnosed myself with frozen shoulder due to my decreased range of movement. It’s painful to take my shirt off and can’t lift my arm up sideways. The pain however goes toward the back area of the shoulder affected and the front side of the chest as well. I noticed more of this back and chest pain when I breath in deep or exhale. I wonder if anyone else experiences this radiating pain. In my case the frozen shoulder probably developed because of diabetes which I suspected but confirmed recently with a finger stick. I was just wondering how common is to also have the radiating to chest and back pain? Thanks.