#1 - probably not an issue. Did you only try this once, as in not moving the truck slightly and checking both the front and rear again? The diffs will always have a small amount of play if you try to turn the driveshafts while the truck is sitting still. The ring and pinions, if properly setup, should have a small amount of backlash between them (meaning the pinion can turn a very slight amount before meshing with the ring gear).
#2 - I would also check the wiring for loose connections or a bad ground, especially before spending any money.....a part may only be $16.99 but if you don't need it that is the same as throwing $16.99 out the window while you drive down the freeway.
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