Rasputin's family name was always Rasputin.
Rasputin never had sexual relations with Alexandra Feodorovna. Rasputin never molested the Grand Duchesses. Rasputin was not a "frequent" visitor to the Alexander Palace. He actually was at the Palace itself no more than five or six times, over the course of years. Nicholas wasn't under any spell or control of Rasputin.
There is strong evidence that Ernst Ludwig may have had gay lovers. Felix was at least a cross dresser and was probably bi-sexual.
There were no orders of pogroms against Jews by Nicholas II. In fact, Nicholas forbade them, but it was local level officials who ordered and carried out the Pogroms. Nicholas was not particularly anti-Semitic, as Jews were received by him and he became angry when the very anti Semitic Governor of Yalta forbade the Jewish members of Nicholas' personal orchestra from entry to the city. Nicholas ridiculed him for that...