Yes, my "expertise" comes from cop/law shows but , having said that (ha!), "premeditated" is subjective but only to a point. My example of this would be when one puts a gun to someone's head close enough to leave powder burns (I have no evidence that this is the case except a report that it was "execution style"), then a prosecutor could then say the act was premeditated (I mean, what does the gunman expect will happen when he pulls the trigger on a gun at that range (aka zero inches))?
Still - I believe you are correct that murder 1 is premeditated.