Yes, in the example picture, Jack has written his first two movements incorrectly. One should be under the "I" column and one should be under the "1" column, not the "II" and "I" columns as depicted.
If you follow the text of the section you will be correct (it specifies to write one in at the time of the crime, and one to the right of that).
The two kills on the "Double Event" count as jack's first two moves. So it's easy to just think of it that way. Jack's current location will be the place of the second murder. You basically get the first murder as a kind of free-move to throw off the police. So just record the moves in the places where jack would have made his first two moves, taking any waiting into consideration.