Fishing net:
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×A fishing net is often found near a boat or a ship.
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×Search the lake area more thoroughly.
Tool for opening the crate:
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×You've solved the cleaning task as a sorceress. If you solve it as a thief, you will get the tool you need.
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×One of the svartalfar gives you a clue: Andvari cleaned his workshop when one of his tools went missing.
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×Steal a tool from Andvari's workbench when he's not looking. I'm not sure you can do this after you've cleaned the workshop, but you can try.