cite?
Disclaimer: everything i say below is based on my very rudimentary knowledge of brain physiology.
question 1
IANAhandwriting expert, but i don’t know if it is possible for a person to have exactly identical script from both hands. generally speaking, information needed to specify the shape of symbols comes from the left brain (even for most left handed people). if one writes with the left hand, this information is transferred via the corpus callosum (a bundle of nerves that connect the two halves of the brain) to the right brain motor cortex.
there have been some fascinating studies about people whose CCs have had to be cut for medical reasons. many patients who’re holding a book in their left hand find themselves putting it down even if they’re absorbed in it simply because the right brain (which controls their left hand) can’t really read and is bored!
there was another patient who tried to beat his wife with one hand and protect her with the other!
these examples seem to indicate basic processing distinctions. so unless your language skills are exactly distributed between the two hemispheres and both show equal processing activation, i would find it highly unlikely that both hands would write an exactly identical script.
aside: women seem to communicate better than men because (i) their language skills are more distributed among the two hemispheres than for males, and (ii) their corpus callosums develop faster and are bigger.
question 2
again, i doubt if one could produce the right hand script with the left and vice versa. learning anything leaves some sort of a trace on the brain by altering neuronal structure (some connections strengthen, some weaken, etc). as such, the trace from the right brain ought not match the trace on the left brain if two different styles have been practiced.
question 3
whoa…toughie!
this is purely conjecture, but yes, could be because of right brain activity, could be because of decreased speed in writing. think of it this way…when you say a word, it sets of certain associations in your mind…a sort of activation spreads out from that word to related concepts, both consciously and subconsciously. if you give it more time (by writing slower), or more thought (by concentrating more because you’re using an unfamiliar hand to write), then more related concepts will be activated. voila! your left hand seems more creative.
as for the ‘pen point direction indicates language processing hemisphere’ thingy, it sounds like an urban legend to me. of course, i’m perfectly willing to eat my words if someone will give me a valid cite.