It seems like frozen shoulder.

Since I overuse my right arm, my right shoulder often hurts. Although I say I overuse it, there’s nothing special; I just tend to use only one side because I am right-handed, so even when I lift or move objects, I tend to put force on only one side. Because of this, I think I have frozen shoulder, so I try to use both arms and do shoulder exercises with a band. However, I still unconsciously want to use only one arm, so I try to be careful.