The amino acid shown has which configuration, written as D/L and as R/S at its stereocentre?

The NH2 is on the left in the Fischer projection (as for L-amino acids) so the series is L. For the CIP label the priorities at the alpha carbon are NH2 > CH2SH > COOH > H, because S outranks O at the first point of difference; this reverses the usual S of L-amino acids. L-Cysteine is therefore R.