it will work, i've done it. I'm not sure of which the ring or tip is + or -. But it will still work, if you plug a speaker cables from the amp going + > - into the speaker it will still play. There might be some difference in quality, i beleive when its backwards like that you might get a little low end distortion, but not exactly sure.
As for the powering thing, you'd have to see what your PA amp runs, probably like 75 watts per channel. I think mine is 75 or 100 watts. but yea. it should work, also what size are your JBL, bookshelfs, towers??? i'd say try it, but keep it down, and make sure you are using the RCA inputs on the PA, cause if its a little powered mixer in one, the inputs are always run very hot, XLR and 1/4, most have RCA tape in's. Good luck.
matt