"2) Stalin never deported any criminals from Siberia to Transnistria: all deportations were from Europe to the Far North or Siberia. Criminals who were particularly obnoxious were shot, or sent a thousand miles nearer the North Pole."
This makes no sense. In the book it says that it was the women, children and the old that were resettled not the criminals. And not all the deportations were from Europe to the Far North or Siberia. For example Kulaks were deported to Caucassus, Kazakh, Kyrgyz. Kazaks even to Mongolia, Afganistan and Turkey. Out of the millions relocated, isn't it possible that some families might have been deported to Transnistria?
"3) He could certainly not have sent them to Bendery in Transnistria, because at the time this town was in Romania."
Though Bendery was a part of Romania in the 30s, most of Transnistra was not. In the book it only says that they were deported to Transnistria (not Bendery) and then "went to live by the river." By 1930, half of Bendery's population was Russian. Isn't it possible that they might have taken up residence there?
"4) Lilin never explains how ... as a convicted criminal, he was given a residence permit in Italy."
He doesn't even mention Italy in the book. Why should he explain that?
"5) His [sic] grandfather Kuzya is said to have survived 8 bullets from a firing squad and then been allowed to go: something utterly unique in the history of the USSR, if not mankind."