Not sure about killing them, though I would assume PAM would work as it is a pesticide type chemical.
They're harmless as far as bugs go, but to prevent them in the future, you'd need to bake all wood or wood-like items entering the cage. Substrate, cork bark, wood decor like logs or branches, etc. An hour at 200-250F should be enough to kill any bugs on them, of any kind.
Anything not safe to bake, ceramic, plastic, etc. Can be given a bleach or vinegar soak, but those likely won't be bringing wood mites in anyway.
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