That does not sound like chicken pox. Chicken pox is what LdyGry said, it's a virus, pretty much once it's done and over with your body still carries it, but it is "dead" or "doormant" and remains that way for the majority of a person's life. Chicken pox reoccures usually, at most 3 or 4 times. If you have an outbreak, you get high fevers, extreme itching or discomfort, and it isn't just a rash, it is swolen blisters and ebrasions all over your body.
If you have a more controled, and generally less severe reoccuring "rash" going on I suggest you look into other diseases and like LdyGry suggested, possible allergins.
Antibiotics are to take care of bacteria, once bacteria die, they don't normally come back unless they didn't completely die. There are however, antivirals, which are used to treat viruses.