For a shoulder issue lasting two months accompanied by hand weakness, it is highly recommended to consult a doctor for a proper diagnosis, as this may indicate nerve compression or a muscle tear. For temporary pain relief, over-the-counter nonsteroidal anti-inflammatory drugs (NSAIDs) like ibuprofen or pain relievers like acetaminophen can help reduce discomfort. Depending on the diagnosis, a physician might prescribe muscle relaxants or nerve-specific medications. Please avoid self-medicating without a clinical evaluation. A physical exam is the safest and most effective way to address the root cause and restore your hand's normal function.