With regard to the name, the RCC is clear. The policy is to not be too restrictive in accepting names. Mother Pucker is a humorous reference to the insult Mother Fucker, but the boundaries of the permissible are not exceeded.
However, because the drink contains 10% alcohol, the word LEMONADE on the label is in breach of the Advertising Code for Alcoholic beverages. You should never give the impression that it concerns a soda when it is not. It is requested not to use this indication any longer use.