I think bromine tablets can lower pH. A quick check tells me yes, that bromine's pH is about 4.
I think you can use the baking soda to increase TA, but then will probably need muriatic acid to lower pH. Actually I believe the process is to lower pH with acid, then add baking soda which will raise TA a lot and pH a little. If you've got low pH right now, you should be able to safely add baking soda to raise TA.