Sounds like buddy is missing daddy. Rio, my male gets this way when I leave. He mopes, he chews, and basically gets on daddy's nerves. However, Jazz is the same way when dad leaves.
I wouldn't worry too much about the not eating, he's depressed and will snap out of it when daddy gets home. Just remember, if the dogs don't eat, pick up their food and try again later. They will not allow themselves to starve.
As for the chewing bit, although not good, it's a stress sign and a dominance issue. He's stressed with one parent being gone, and since it's your shoe, he's trying to pull rank as an Alpha figure, unfortunately quite normal.
If you see him looking like he is interested in it, command NO. Then get him a suitable replacement toy; tell him good chewy, give it to him, and praise: "GOOD CHEWY".
If he has gotten into your hearts, then it's all a matter of time.
I do hope you feel better. Just remember, a little pet petting, and it does make you feel somewhat good.
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