Taking flucloxacillin and have gotten 2 small rashes?

Allergic reaction?: Without seeing the rash there is no way in which it can be diagnosed over the internet, but the potential that this may be somehow related to the flucloxacillin as an allergic reaction or secondary infection would prompt one to go and see the doctor who prescribed this and let them evaluate the rash. Good luck.

Likely unconnected.: Flucloxacillin is an antibiotic in the penicillin family. While penicillins as a class can cause rashes, most med related rashes are generalized rather than localized. So, it's likely that something else has caused the rashes. However If your rash spread or becomes itchy or if you get other symptoms of allergic reaction, stop the med immediately & get medical help.