In your nose and under your eye????? Pimples shouldnt be there. See a dermatologist. If its not that serious try to clean it with dial soap or other face cleanser products that would get rid of pimples.
I would think that if its in your nose its probably a cold sore bright on by allergies and that would connect with the puffyness under your eyes. I would suggest that you use a saline spray and put (I know this sounds silly but it works) a small bit if carmex on a q-tip and apply it to the sore. If you are having other symptoms such as stuffyness or watery eyes, you may want to take something like Claritin.
The puffy eye is most likely non related or reaction from Neosporin in the nose. ( it shouldn't be placed in nose, and only used for a short period of time) Call your doctor, stop into the pharmacist at drugstore for help.