I'm not sure about first one but I strongly doubt. I mean, which character nature slider should be taken into account? The one taking honey out? The one planting crops? The one who built the hive?
As for the metal - There are quality nodes (just like soil) for rock underground. You can try looking for those nodes, and then for veins inside them. But those nodes are pretty rare. Apart from this there is only smelter and fuel quality.
The only exception is iron/wrought iron. When crafting wrought iron from cast iron, there is like 10% chance to increase quality of resulting bar (even if it turns back into cast iron)
http://ringofbrodgar.com/wiki/BloomWith enough bars you might be lucky enough to have a bar:
- succeed with turning into bloom
- fail with turning into wrought iron, but increase quality
for few times in a row.
Not sure if anyone makes any use of this