Here as per your explanation I understand you have pain in your back right side as well in chest again and it pains even when you breath.
Your
chest pain is on right side so can not be related with Heart issue but can be with lungs. You have told there is pain even while breathing in also. For this I suggest take one
x ray of chest and check every thing is well over there or not. If there is no issue in x ray then I suggest to do some hot water bag fomentation over painful area.
Now next is pain in back for this I suggest visit a ortho or physio and let them evaluate. Here with few of physical test they will try to find out whether its muscular
soft tissue pain or issue with disc level. They may ask to go for
MRI or x ray for detail evaluation. But if there is nothing looks major then will give you primary treatment suggestion with physiitherapy treatment along with back exercise program to strengthen your back as well will also suggest to use hot pack at painful back soft tissue to relax it and have some more pain relief.
If there is any thing related to your drinking habit then you will also have symptoms like
vomiting,
diarrhea, as well stomach pain too. If there is no symptoms like this then nothing related to
liver issue. But still I suggest to reduce drinking as much as you can.
I am sure this will be helpful if you follow it. Take care.