We want pics of both.....
To answer your questions:
Chains fall off when sprockets get severely worn, chain rollers and sliders deteriorate and when axle or pivot bearings get worn.
If you use a dremel, some acetone and sandpaper; You can rough up most cracks etc and try some epoxy.
Obviously it's better to figure out whats making the chain launch and then replace the case. But, thats the most expensive part and everyone's broke so have at the epoxy. I have a motor I'm fixing with epoxy right now......
All our government does is distract us while they steal from us, misspend our tax $ and ruin our country