I've been playing for quite some time, but have always owned and played non-trem guitars. These days, I'm in a kind of band where some whammy is of great use, so I picked up a Jackson Warrior with a Floyd Rose Special on it.
I suppose this is a 2 part question, though the parts likely go hand in hand:
The string tension seems extremely tight. I always use the exact same brand and gauge of strings (D'addario 10-46) and I tune standard one half step down. The floating bridge is sitting exactly parallel to the body and is only about 1/16" raised above the body and I'm using 3 springs. The tension has been causing me to break my 5th string (A) quite regularly. When I say break, I don't mean snap, but instead the wind starts coming undone at the saddle lock so that the string just starts falling out of tune very quickly. The string sits straight in the saddle and there are no burrs or anything, so I assume this must be a product of the string tension.
The neck is sitting at a point where it is roughly straight with a bit of relief. I like my action to be as low as humanly possible because I solo a lot and have a very light picking and fingering technique. On all of my other guitars (again, the others are non-trem), this setup usually makes for perfect action, but on this one the action is still too high at the higher frets (about 15-24). It's not incredibly high, but the current height coupled with the string tension makes for a very uncomfortable experience.
My question is what can I do from here to both lower the action at the higher register and relieve some string tension?