A little wet nose is as a rule not a sign of a problem. Since healthy rabbits only breathe through their noses, not through their mouths, moisture in the air may condense around the nostrils, especially when the rabbit has been physically active, or if the ambient air is humid.
What you dont want to see is snot around the nostrils, and/or felted hair on the cheeks (and paws). (If there is snot, and the rabbit tries to clean it with it’s paws, the snot will transfer to the cheeks when the bun “washes” its face, and the cheek hair will become felted.)
Frequent sneezing is of course not good, but some sneezing happens even in healthy rabbits, often because of dust. It was wise of you to take away the dusty linden leaves. (Linden is a tree, the leaves and flowers of which are bunny safe, but if you got a dusty batch, it could of course irritate the nostrils and cause the odd sneeze.)
It’s very good that you are so observant!