Welcome.what a terrible shock that must have been.
Actually I think your boss is being overly insensitive ,what a thing to say.Unfortunately some people do really believe that grief ends with the funeral,usually because they havnt experienced it themselves, not trying to excuse your boss sometimes they're just so wrapped up in performance targets,figures and inconvenience of staff absences and forget to be human beings.
I think now might be the wrong time to be taking big leaps into another job though.I know when we lose someone it almost feels as though making another big life change will somehow make us feel better,but in reality you can't run from grief.First consider whether you enjoyed the job before this happened and whether whatever the attraction of it was is still there despite what has been said by one person.Then if you still want to move look around see what's out there,or even consider doing some training or education in your own time so you can move up or move sideways into something you want to do.That's the kind of move that you could make in tribute too your dad even.Try to make it a positive move towards something not just a leap from frying pan to fire.
Meanwhile be kind too yourself,you are not being oversensitive grief is something which affects us all differently but just because there are no bandages doesn't make it something any less life changing than physical injury.