"Reverse" Wrist-Curls with the barbell (palms down) should help #1.
Oops I see that's listed above in pic #2..
Have you tried holding a dumbell and moving it side to side? (as opposed to the wrist curls and reverse wrist-curls).
I do something that I don't think anyone else does and that's holding lighter dumbbells and do wrist rotations in every direction (most of the times figure-8' and keep your forearm straight)
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