She has some black spots on her? Okay, then I could see an extra “spot” showing up as she ages. Some bunnies just change colors as they get older. This seems especially true for some mixed breed bunnies because there can be very “unusual” combinations of genes. I think as long as it doesn’t look raised, irritated, scabby, oozy, etc. (i.e. it looks like normal skin) then it probably isn’t anything worry about.
There is normally a little “dampness” to their nostrils. As Bam said, they breathe through their noses all the time. Moist air exists their lungs and some of it settles in their nasal passages. This is completely normal. What isn’t normal is an obvious discharge that is white or yellow. It will cause the fur around their nose to become matted and stuck together. Sometimes you see matting on the insides of their paws/legs from wiping their nose too. When a bunny is congested, the sound in unmistakable. So I’m sure your mother would know what to listen for.
Some bunnies are more vocal than others. They can honk, grunt, and make soft little noises when they are eating. Not all bunnies go this, but some do.