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It all depends on what goals you're trying to achieve. Cardio before weights is good for building endurance. Weights before cardio builds muscle strength. I prefer cardio before weights so my muscles are warmed up and ready for strength training.
Sorry, I'm not familiar with fasted cardio so I don't have any feedback on this one.
Yes, too much cardio can burn muscle. You want to develop a good exercise plan that includes cardio, strength training, and for "older" folk, balance training.