fly wheel not.resurfaced

I do have a question though. Since the clutch and flywheel are both round, and the clutch rotates on the flywheel. Wouldn't the clutch make contact on a good part of the flywheel at all times? Therefor it couldn't skip a cross the bad part of the flywheel and grab again unless the clutch also had slick parts on it as well?

Many/most clutches are made of materials that have some 'give'. Typically they will have far more variance in their thickness around the perimeter. But when the flywheel and pressure plate are flat and have good surfaces, the clutches 'high' or 'thick' spots will always be under tension and you'd never know the difference. Even when the clutch is perfectly flat and parallel, it will tend to flex when pinched by the narrow parts of the PP/FW combo and cause the same issue of chatter.

If either the flywheel or pressure plate is FUBAR, it'll shake your fillings out as the various screwed up surfaces fight one another.

Beyond the cracks, which indicate the flywheel was overheated, rust can pit and alter a surface unevenly as well. So you've basically got a screwed up surface against a screwed up clutch being pinched by a pressure plate that is likely the least screwed up, for now.

I can guarantee it's all coming back out because the clutch is getting hammered by all the chatter. Either the friction surface will give up, or some other mechanical linkage in the chain will. Take the first opportunity you get to take the car out of service and have the flywheel resurfaced. A new clutch and PP wouldn't be a bad bet at that point either.