I have never really seen it make much difference how braided line was spooled on as it typically has no memory.  If it were me, before I spent any more money on line I would remove enough line to remove the knots.   Connect a swivel to the line and attach it something stationary, walk  the line off the reel and then reel it back in.     Give it a try like that and see how it goes. 

That picture shows a wind knot from twist.  Braid will twist, and especially if it's loaded wrong.  While you don't get the fly away loops like you do with single filament lines, you will get wind knots.

The solution: troll it out, reel in through a towel, with some pressure, and treat it with KVD L&L.