The Hamlet Project

I have timeline questions. What else was happening two months ago? If Hamlet can be trusted as a time resource, we assume that Gertrude married Claudius a month after Claudius killed Hamlet Senior. At what point AFTER that wedding does this play take place? And how long do the events of the play take to occur? How long does it take to get to France and back? And was Laertes in France when this supposed gentleman from Normandy showed up? Did the gentleman of Normandy arrive at the same time as the murder? That’s my question. If even such a person exists. It is a curious time to choose, given the circumstances.