There is not a bonus/preference point system in NM. As far as the draw, there is the 1st, 2nd, 3rd choices for deer, although I don't think that there is a 4th choice like the elk draw. One point to mention, if you happen to hunt in the SW part of the state you will have to choose which species you want to hunt, Mule Deer or Coues. Hope this helps,
Life should NOT be a journey to the grave with the intention of arriving safely in an attractive and well preserved body, but rather to skid in sideways, weapon in one hand, calls in the other, body thoroughly used up, totally worn out and screaming "WOO HOO what a ride!"