If a plate is stand-alone you do not need backers of any kind. If the plate is ICW (in-combination-with) then you need the appropriate backer for the plate to reach its rated threat level.
A backer will reduce blunt force trauma when used with a stand-alone plate but whether or not the reduction in blunt force trauma is worth the increase in cost, weight, and bulk is up to you. It isn't worth it to me.
If the impacting round is within the plates threat rating you'll be fine. Might need a one or two day hospital trip if you get hit with something big (.308, .30-06) and it manages to break a rib or the like but that should be the worst injury you'd get.
Remember, NIJ ratings were made with the intent in mind of having armor made that would allow the user to not just survive but to continue to move and fight after taking a hit. Most armor now, even if it doesn't have NIJ certification (as is the case for a lot of "special threat" armor) is made with that same intent, to keep the wearer mobile and fighting even after taking a hit.
In summary, a IIIA backer behind hard stand-alone armor plates is, in my opinion, something that adds too much cost/weight/bulk for little real benefit.