Nice camera. The sharkskin pattern vulcanite is much grippier than the regular pattern.
A flashlight is useful for inspecting the lens. Ideally, you'd pull the casing off the camera chassis and shine a light through the curtains to check for pinholes, but that's probably outside the realm of possibility unless one of you is an experienced tech. Make sure the RF image is bright and clear; if not, you're looking at a mirror replacement. The hardest thing to check is if the shutter is capping at 1/1000 (and sometimes 1/500); slip a piece of bright white paper into the film gate and fire the shutter with the lens off and in bright light - sometimes this is sufficient to see if you're getting good coverage at those speeds.