Correct way of drawing D-configuration with this stereochemistry?
You don't have to memorize the whole structures. Easier is to memorize the general structure including the stereochemistry, and the residues, R (except from proline). The Fisher projection is useful, but on your depiction, it's not in the usual orientation. The carbon chain should be vertical, carboxy group at the upper side, residue at the bottom. Hydrogen and amino group (pointing towards observer) horizontal. 


(non-ionized forms)

One can easily memorize that for L- amino acids, amino group is on the left, for D- amino acids the opposite, which is the case for your orientation as well (and don't forget to invert chiral residues for D- AA's, as Zhe has already noted in the discussion; it is the case for isoleucine and threonine).