Do xrays show ligaments and if they a're stretched loose or damaged or sprained?

Not directly: Ligaments don't show on plain x-rays. They show dense bony structures. But if the bones seem separated or not aligned right, an x-ray might imply ligament damage. Test to look directly at ligaments would be an mri.

See answer: Regular x-rays may show indirect evidence suggestive of a possible tendon or ligament injury (eg. Fluid) but do not directly show ligaments or tendons and are best for evaluating the bones and for fractures. An MRI would be the best imaging study to more directly assess for ligament and tendon injury.

Xrays: Xrays usually only show bony issues! however if you are concerned about ligamentous tears, stress xrays can be performed so as to see if there is any instability to a joint. Mris are the gold standard to see ligamentous and tendon tears.