Tire Problem

Hey all,
Got a tire problem and some related questions.
I installed a set of 4 BFG G Force KDWS 245 45 17s on my 96 Cobra about 5,000 miles ago. They were extremely quiet until I rotated them last night, using the standard back to front same side, fronts to back cris-cross rotation. Now the tires are very loud. Alignment was done right after the tires were installed, and the wear looked fine (almost nonexistent) when I rotated them.

Questions:
1. Is the noise because the direction that the rear tires are turning is now opposite what it has been since they were originally installed on the car?

2. Will this noise likely go away once the tires have settled/"worn" into their new wear patterns where currently installed? I've driven the car less than 60 miles since rotating the tires.

3. Should I have just done a front to back same-side rotation? These are non-directional tires.

Any help will be greatly appreciated!
Thanks