The cyst you are referring to could be an abscess. I had it a while back with concomitants like profuse perspiration, low grade fever and loss of weight and yes shooting pain on the right side. I thought with the pain I had, it could be a renal problem, but it turned out to be an abscess.
More specifically it is called Amoebic Liver Abscess. The abscess, if it is one, is relative small and can be cured by antibiotics. No need to go in for aspiration. It is 100% curable. Also go in for a blood test along with a liver function test to test the levels of the enzymes.
But, FIRST consult a good gastroenterologist. I wouldnt worry if I were you.
I also have a couple of liver cysts. I have been told by 2 different specialist that I shouldn't worry that they are common. If you are having alot of pain in r side you should see a doctor. The pancreas, gallbladder, and common bile ducts can all present with pain, some nausea, vomiting, wt loss, ect. Good luck in finding a good doctor.