Could you elaborate on this? In which ways is "a random" walk incorrect? In what is high frequency trading based?
I'd love to read it, but the easiest way to answer your second question is to point you to 'A non random walk down wall street.'
One huge assumption that Black-Scholes makes is that returns are normal distributed. This is not done for empirical reasons rather mathematical ones, namely it is so convenient.
Edit: Pdf http://www.newyorkfed.org/research/conference/2007/liquidity...
Some meta data and such if you don't feel like going with a pdf: