Most likely, you are overloading the tendons with large weights, that is, the muscles may be ready for such a load, but the tendons are not.
Of course, I recommend that you consult a doctor and temporarily limit the performance of those exercises, after which there is pain. And then start training with minimal weights, gradually increasing them, observing the reactions of the body.
Pain in joints and ligaments, and even in muscles, is not good.
Dear Author of the question! In most cases, the cause of elbow pain after strength training is excessive or improper stress on the elbow joint. As a result, damage to both the joint itself and the musculo-ligamentous apparatus is possible. Pain during extension, turning and bending can occur against the background of epicondylitis (inflammation of the bony processes of the shoulder at the point of attachment of the tendons to them). To clarify the diagnosis and determine the treatment tactics, we recommend that you contact a traumatologist