Year is correct, I believe licence plate is from Birmingham.
Well done for finding the vehicle..
BW would be a Birmingham issue only from 2001 onwards (e.g. BW51 ABC would be Birmingham).
From 1903 to 1974 it would have been Oxfordshire (e.g. LBW 995, 995 LBW, LBW 995L)
From 1974 to 2001 it was Oxford (e.g. LBW 995N, N995 LBW)