Unless I'm misunderstanding the guitar bit, assume you mean fret with your right hand. If it's the other way around that's pretty cool, and I would think highly unusual, to fret with the hand that you don't write with.
Actually, now I'm totally confused, I write with my left and fret a guitar with my left, which might not be normal :)
As to guitar playing: Strumming with my right, holding the guitar to the left, like regular/right-handed guitar players. (Snowboarding, also regular, left foot in front).
Left handed for the fine motor tasks (write, eat, ...) and right hand dominant for the rest (throw, bat, ...)
I never played (ice) hockey, but I believe pure lefties tend to shoot right handed, and vice versa for righties (i.e. with dominant hand on the top).
right hand: computer mouse, handball (throw with left hand), gun-shooting?, guitar, mini-golf, hockey, baseball