Analogies what is the relationship of freckle : small : : old : young

There can be no analogy there. In an analogy the left and right side have to have the same relation. In the left side one word describes the other while on the right side the two words are antonyms. You can change this analogy to be correct the analogy by saying - freckle : small : : old : worldly

Small describes freckle and worldly describes old