The American Academy of Allergy, Asthma, and Immunology and the Council of the British Society for Allergy and Clinical Immunology have both stated that "there is no evidence of allergy or intolerance to fluoride as used in the fluoridation of water supplies."
Allergy to chlorine is not systemic and only a contact dermatitis. Some people may find a sensitivity to inhaled chlorine from heavily chlorinated water such as a swimming pool. Once free chlorine combines with a protein it becomes inert in your stomach. Usually in the form of mineral salt.
Your body is full of chlorine mate. Chock a block FULL of the stuff naturally.
So what you are after is healthy beer? Well that's kind of like a smoker being concerned about CO when it's the other **** that's really not good for you.
Adding salt regardless of the source is a huge source of sodium chloride and you risk pulmonary hypertension, chronic heart failure and kidney damage from that practice. It's not the sodium that your body really needs from the water, it's all the other trace elements.
Go see your GP if you have an issue but this isn't the place for it mate. No one here is qualified (or willing if so qualified) to give you health advice.