Hi.
Usually when people apply for another Bachelor's Degree it is to advance in their current career or for a very specific goal. If you believe that BA (Hons) is an important requirement for your future goal then you should pursue it. BA (Hons) along with BA Distance is a special case that quite frankly, even I am unaware of. For this information, you need to visit the university and institute that you wish to pursue the degree from. As previously mentioned, you are allowed to pursue second bachelor's degree but universities have their own regulation as well.
Also, Thank you for the mention. We, the moderators, will try to answer your query will as detail as possible.
Good Luck
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